Each side of a square field is 5.5m. 7. \(\frac{40 4}{108 4}\) = \(\frac{10}{27}\), Question 2. 21/120 = x 0.75 < \(\frac{7}{8}\), Question 4. \(\frac{5}{6}\) \(\frac{2}{1}\) = \(\frac{5}{3}\), Question 4. The total weight of the cartridges in a box is 4 \(\frac{1}{2}\) pounds. 6th Grade. Question 8. In \(\frac{1}{6}\) of the games they won, they outscored their opponents by more than 10 points. 91, Simplify Factors Lesson Check 1 Page No. Plugging the value of the total weight, we get 4.8 is 4 ones and 8 tenths. 1/2 groups of 3 \(\frac{}{}\) gallon, Explanation: Use division to rename the fraction part as a decimal. So, a triangle block shows 1/6. The most fundamental branch of math is arithmetic operations. _____. 6 x 3/2 = 9 candles, Question 3. The total cost of the meat = 4.64 3.75 = $17.40 Simplifying expressions There were 14 \(\frac{1}{4}\) cups of apple juice in a container. __________. 40/ (2 2/3) = 40 / (8/3) = 40 3/8 = 120/8 = 15 baskets, Question 10. Marty has 2 \(\frac{4}{5}\) quarts of juice. The rule of simplifying fractions is to cancel out the common factors in the numerator and the denominator of the given fraction. Question 7. If she ran \(\frac{1}{3}\) of the distance and walked the remainder of the way, how far did she walk? Question 20. __________, Answer: If Jerry runs \(\frac{1}{10}\) mile each day, how many days will it take for him to run \(\frac{4}{5}\) mile? 312 + 36.4 = 348.4 Convert this to an improper fraction. For numbers 3a3d, select True or False for each statement. \(\frac{5}{6}\) 3 How many of the pets are calico cats? ______, Explanation: Use real-life examples of simplifying fractions. For 2/3lb, x cups. Type below: Let us go through the following example to understand this better. Write the decimal form of 3/5 = 0.6 Here, 6 + 1 = 7. Mrs. Brown has \(\frac{1}{3}\) yd of blue denim and \(\frac{1}{2}\) yd of black denim. Rose bought ginger candy = 7/20 kilogram = 0.35 Kilogram Karim along with friends, shared these toffees equally. So, \(\frac{17}{25}\) = 0.68, Explanation: Our members helped us give away millions of worksheets last year. Practice writing fractions in simplest form. \(\frac{55 5}{1000 5}\) = \(\frac{11}{200}\), Explanation: Then, you are at the correct place. Show your work and explain why you chose the operation you did. Download & Print Only $4.90. Mr. Ortiz has \(\frac{3}{4}\) pound of oatmeal. Percent: grades 6-7. \(\frac{1}{4}\) are dogs with long hair, Explanation: Go Math Grade 6 Answer Key Chapter 2 Fractions and Decimals PDF is included here for free. x = 14/3 = 4 2/3 miles \(\frac{5 21}{3 8}\) = \(\frac{105}{24}\) Eve has 24 stamps each valued at $24.75. If you can, please consider purchasing a membership ($24/year) to support our efforts. Explore the entire 7th grade math curriculum: ratios, percentages, exponents, and more. Darcy needs \(\frac{1}{4}\) yard of fabric to make a banner. All the solutions and explanations will let you understand the easy way of learning and practice the maths in an easy way. ______ banners, Explanation: Type below: __________, Explanation: The reptile house at the zoo has an iguana that is \(\frac{5}{6}\) yd long. 1/4 = 0.25 is closer to 0.2 Type below: Type below: 4b. \(18 \frac{1}{4} \div 2 \frac{4}{5}\) 6 + 0.875 = 6.875. Margie hiked a 17 \(\frac{7}{8}\) mile trail. d. 4/9 3/16 = 1/12 \(\frac{3}{25}\) = 0.12 44/11 = 4, Question 8. Divide the numerator and the denominator by 10 0.33 < 0.39 Percent: grades 6-7. 180/90 = 2 Step 1: 5yx is the same as 5xy using the commutative property. d. 0.025, Explanation: The GCF of 6 and 24 is 6. \(\frac{5}{7}\) \(\frac{4}{5}\) = 20/35 So, Point C is at 1.2, Question 12. Become a memberto access additional content and skip ads. The GCF of 12 and 80 is 4. 99, Model Fraction Division Lesson Check 1 Page No. n= 3/4 1/8 In 1 jar she puts 1/8 gallon of paint. \(\frac{7}{8}\) = 0.875 0.64 < \(\frac{7}{10}\), Explanation: The number of cups required for each serving = 1 1/2 __________, Answer: The cost of meat of one pound = $4.64 2nd Grade. \(\frac{2 2}{12 2}\) = \(\frac{1}{6}\), Question 19. Type below: Answer: There is \(\frac{2}{5}\) lb of sand in the class science supplies. Whenever a smaller number is divided by a larger number, the quotient is less than 1 Question 13. Divide the numerator and the denominator by 5. 0 + 0.85 = 0.85. \(\frac{2}{6}\) 4 _____, Question 5. Embedded content, if any, are copyrights of their respective owners. 4 \(\frac{5}{8}\) = 37/8 = 4.625 2 + 0.625 = 2.625. Sycamore = 15 2/3 = 47/3 = 15.666 18/3 = 6 3.5 1.5 = 2, Question 14. Explanation: For numbers 4a4d, choose Yes or No to indicate whether the statement is correct. 11 and 1/4 = 11 + 1/4 = 44/4 + 1/4 = 45/4 \(\frac{1}{3}\) \(\frac{1}{4}\) At the factory, a baseball card is placed in every 9th package of cereal. In Zoes class, \(\frac{4}{5}\) of the students have pets. Missing Parts of Multiple Equivalent Fractions. \(\frac{8 2}{10 2}\) = \(\frac{4}{5}\), Explanation: Divide the numerator and the denominator by 3. How long will it take the tree to grow from a height of 21 \(\frac{1}{4}\) feet to a height of 37 feet? d. What operation will you use to find how many breaks Dina takes? Then write a fraction to tell how many items were colored in. = 45/2 3/2 = 45/3 = 15, Question 1. We need to convert 3.75 as a mixed number. 5.1666 is closer to 5 \(\frac{20 5}{35 5}\) = \(\frac{4}{7}\), Question 13. Brad and Wes cut a 12 1/2foot piece of wood into 5 of the same length. Next, round the second number. 3/2 + 1/4 = 7/4 \(\frac{}{}\), Explanation: How would the total amount of snow in Altoona compare to the amount received in Bethlehem that day? So you can make about 5 loaves of bread with 10 cups of raisins if each loaf needs 1 3/4 cups of raisins. Try the given examples, or type in your own \(\frac{3 3}{15 3}\) = \(\frac{1}{3}\), Question 7. Tyler bought 3 \(\frac{2}{5}\) pounds of oranges. \(\frac{1}{3}\) 4 Grade 6; Simplifying fractions Buy Workbook. Question 15. Yes 5/8= 25/40 and 4/5= 32/40. They were on sale for $0.75 a pound. 1/2 3/7 = 1/14 Practice: Copy and Solve Evaluate using the order of operations. Students must write in the missing numerator or denominator to make the fractions in each problem equal. More decimals worksheets. 4.625 is closer to 5 __________, Answer: Integers: grades 6-7. Use fraction strips to find the quotient. __________. Multiply the numerators and Multiply the denominators. 3/4 1/8 = 6, Question 1. 3.333 is closer to 3 Hassan eats trail mix for 10 days before he runs out. a. Type below: Model 3 with 3 hexagonal blocks. By using Division, Type below: 2 \(\frac{5}{6}\) = 17/6 = 2.833 She wrote the distance as 2.02 miles in mistake. What problem are you asked to solve? These fractions worksheets are pdf files. Point B \(12 \frac{3}{16} \div 3 \frac{9}{10}\) __________, Answer: _____ bagels, Explanation: How many toffees did each one get? Below are six versions of our grade 6 math worksheet on simplifying fractions; students are asked to rewrite the given proper fraction in the simplest form (smallest denominator). How much birdseed should she put in each? \(\frac{}{}\), Explanation: ______ pieces, Explanation: \(\frac{12 4}{40 4}\) = \(\frac{3}{10}\), Question 4. Then write a fraction to tell how many items were colored in. (2/3)(4 1/2) Sarahs craft project uses pieces of yarn that are \(\frac{1}{8}\) yard long. Jason ran \(\frac{5}{7}\) of the distance around the school track. A tree grows 1 3/4 = 7/4 feet per year. Part B _____ cups, Explanation: $5.20/4.16 = $1.25 2 1/2 = 5/2 = 2.5 is closer to 3 _______, Question 3. The quotient has 2 decimal places. 6.625 is closer 7 Write the decimal form of 5 \(\frac{1}{2}\) = 5.5 One-third of the students at Finley High School play sports. He said the quotient is 7. \(4 \div \frac{1}{7}\) Divide the numerator and the denominator by 1 \(\frac{1}{2}\), \(\frac{2}{5}\), \(\frac{7}{15}\) At Susies school, \(\frac{5}{8}\) of all students play sports. \(\frac{3 3}{24 3}\) = \(\frac{1}{8}\), Question 7. Simplify using the GCF. y 2 / 3x 5.. Michael measured 6 \(\frac{7}{8}\) inches of snow. Simplify using the GCF. The total length of the highway is given to clean = 4.8 kilometers 71 \(\frac{11}{12}\) = 863/12 = 71.916 2 \(\frac{7}{10}\) = 27/10 Whats the Error? We provide free educational materials to parents and teachers in over 100 countries. The Ecology Club has volunteered to clean up 4.8 kilometers of highway. Divide the numerator and the denominator by 12. The table shows the amount of each material that students in a sewing class need for one purse. What fraction of the students in Zoes class have pets that are rodents? Point C ___________, Answer: Find the highest common factor of the numerator and denominator. 4a. Multiply the numerators and Multiply the denominators. Improve your students maths-solving skills with the help of Go Math 6th Standard Answer Key. What fraction of the students in Susies school play soccer? This is effected under Palestinian ownership and in accordance with the best European and international standards. Count the triangles. __________, Answer: Though we simplify them, the value of the fraction is going to remain unchanged. \(\frac{}{}\), Explanation: Write the decimal form of 6\(\frac{1}{20}\) = 121/20 = 6.05 Like terms can be added or subtracted from one another. _____ pillows, Explanation: 0.75 + 0.625 = 1.375 = 1 3/8, Question 13. 4/5 X 1/2 = 2/5, Question 10. 32 \(\frac{2}{5}\) = 162/5 7 + 0.375 = 7.375. Simplifying Fractions In this soccer math game kids will have fun reducing fractions to the simplest form. Type below: \(\frac{1}{3} \div \frac{1}{12}\) Math worksheets: Adding fractions with different denominators. _______ pieces, Explanation: 17/20 = 0.85 2/15 X 3/20 = 2/20 X 3/15 = 1/10 X 1/5 = 1/50. Use a number line to order from least to greatest. Mr. Ortiz has \(\frac{3}{4}\) pound of oatmeal. We're willing to bet that doing these operations on whole numbers is a piece of cake, but now we'll mix those numbers up with decimals and fractions. \(\frac{16 3}{27 4}\) = \(\frac{16 3}{4 27}\) Yes No 116, Model Mixed Number Division Lesson Check Page No. Type below: _______, Explanation: The quotient has 2 decimal places. Compare decimals. __________, Explanation: He spreads \(\frac{1}{16}\) of the butter on his bread. 4/5 = 0.8 is closer to 0.8 If 3 students receive an equal length of the ribbon, how much ribbon will each student receive? How many boards can he paint? 3c. What fraction of the group are boys with brown eyes? Each worksheet is randomly generated and thus unique. Kristen wants to cut ladder rungs from a 9 ft board. Volunteers collected and recycled 3.75 tons of trash. Equivalent fractions math worksheets. Type below: Step 2: Determine the common factors of numerator and denominator. View PDF. Download & Print Only $4.90. The common factors of 8 and 24 are 1, 2, 4, and 8. \(\frac{14}{15} \div 7\) Answer: \(\frac{5}{6} \times \frac{4}{5}\) Explanation: Type below: __________, Explanation: 2d. \(\frac{5}{7}\) \(\frac{1}{7}\) = 25/7 = 3.571 is closer to 4, Question 1. __________, Explanation: Estimate the number of pieces Sharon will have if she divides 15 \(\frac{1}{3}\) yards of fabric into 4 \(\frac{4}{5}\) yard lengths. How many hamburgers can he make? Type below: x = 3/4 16 = 3 4 = 12 glasses, Question 14. __________. Point C represents 6.5. Practice writing fractions in simplest form. If one jar of glue weighs \(\frac{1}{12}\) pound, how many jars can Rickie get from \(\frac{2}{3}\) pound of glue? 3 \(\frac{3}{5}\), 3 \(\frac{5}{8}\), 3.7, Explanation: Divide the numerator and the denominator by 15. How many times as far did they hike in the morning as in the afternoon? How many bags could he fill? True False Question 5. \(2 \frac{1}{2} \div \frac{1}{6}\) 3 x \(\frac{4}{9}\) + \(\frac{2}{5}\) 0.75 _____ \(\frac{3}{4}\) To improve your skills solving math problems with fractions and mixed numbers complete the lesson Add, Subtract, Multiply & Divide Fractions & Mixed Numbers. \(2 \frac{1}{2} \div 2 \frac{1}{3}\) Step 2: We will add the numerator to the product obtained in step 1. Point D: 0.8, Explanation: ______ \(\frac{}{}\), Explanation: Write the decimal form of 1\(\frac{1}{10}\) = 1.1 \(\frac{3}{5} \div \frac{3}{10}\) How much trail mix did each hiker receive? 5/12 = 0.4166 is closer to 0.6 A group of students attend a math club. Explanation: Dan paints a design that has 8 equal parts along the entire length of the windowsill. 92, Mid-Chapter Checkpoint Lesson Check Page No. 1 \(\frac{3}{5}\) _____ 1.9 \(\frac{7}{15}\), 0.75, \(\frac{5}{6}\), Explanation: For example: 2x and 5x are like terms a and are like terms 6x and 5y are unlike terms. How many \(\frac{1}{8}\) -yard pieces can she cut and still have 1 \(\frac{1}{4}\) yards left? Plugging the value of total weight, we get The GCF of 812 and 63 is 7. Fun Games for Kids Speedway Fractions NUMBER OF PLAYERS: 12 Add and subtract fractions. ______, Explanation: \(\frac{7}{15}\) _____ \(\frac{7}{10}\), Answer: So, 12 is the answer, Question 11. 193/8 x 4/11 = 8.77 \(\frac{}{}\), Explanation: Bill states that \(\frac{7}{30}\) of the customers bought low-salt pretzels. \(\frac{7}{8}\) \(\frac{3}{5}\) Every point is separated by 0.1. problem solver below to practice various math topics. Now lets add one more hour. \(\frac{4}{5} \div \frac{2}{3}\) The fractions \(\frac{1}{2}\) and \(\frac{5}{10}\) are _____. Type below: What fraction of the cornbread does Val eat? Math worksheets: Adding fractions with different denominators. Simplify using the GCF. Kaitlin buys \(\frac{9}{10}\) a pound of orange slices. A box of crackers weighs 11 \(\frac{1}{4}\) ounces. So, 9.97 + 10.1 + 0.53 = 20.6 meters, Question 4. 5.75/4.5 = 1.27 = 1 27/100, Question 6. Math worksheets: Finding equivalent fractions. convert 11 and 1/4 to improper fraction How many servings are in the box? Explore all of our fractions worksheets, from dividing shapes into "equal parts" to multiplying and dividing improper fractions and mixed numbers. 4 1/2 = 9/2 His answer is Nonsense. So, \(\frac{17}{20}\) = 0.85, Question 1. 4/5 = 0.8 \(4 \frac{1}{2} \div \frac{1}{2}\) Below are six versions of our grade 5 math worksheet on adding unlike fractions; all fractions are proper fractions. So, Point D is at 1.9, Question 11. The fraction so obtained is in the simplest form. So, 2 \(\frac{11}{20}\) = 2.55. \(\frac{3}{4} \times \frac{5}{9}\) 4/5 3/5 = 4/3; 4/5 5/3 = 4/3 \(\frac{1}{10}\) of the students in Zoes class have pets that are rodents Then, you are at the correct place. Order from greatest to least: 7/8, 7/9, 7/10, Question 10. 55.833 is closer to 56 So, from least to greatest, the order is 1.1, 1.25, 1.8 1/3 = 0.33 is closer to 0.4 Evan buys 19 tubes of watercolor paint for $50.35. This is effected under Palestinian ownership and in accordance with the best European and international standards. 2/6 can go into 5/6 twice so the answer is two bags. Type below: To improve your skills solving math problems with fractions and mixed numbers complete the lesson Add, Subtract, Multiply & Divide Fractions & Mixed Numbers. 7/2 x 4/3 = 1 x x (2/3)(9/4) Explanation: Using 6 yards of fabric 6/(3/4) = 24/3 = 8, Question 6. If she divides the lemonade into glasses that hold \(\frac{1}{16}\) quart, how many glasses can Sophie fill? Estimate. 3rd Grade. \(30 \frac{7}{9} \div 3 \frac{1}{3}\) Count the number of trapezoids to find the answer. Combine Like Terms Karim had 20 toffees. Explain. Type below: \(\frac{3}{8}\) = 0.375 Estimate the quotient: 91.934.39 \(\frac{3}{4} \times\left(1-\frac{1}{9}\right)\) 2nd Grade. Step 1: We will multiply the denominator with the whole number part. It is given that two-fifths of the fish in Garys fish tank are guppies. Altoona received less snow that day, Question 14. 1/6 = 0.166 is closer to 0.2 Count the triangles. 1 2/5 = 7/5 = 1.4 is closer to 1.5 Simplify using the GCF. 52 \(\frac{1}{2}\) 3 \(\frac{3}{4}\) = 14 pies, Question 3. 1 \(\frac{1}{6}\) = 7/6 = 1.166 _____ purses, Explanation: How many cups of glue does he have? Sam and his friends ate 3 \(\frac{3}{4}\) bags of fruit snacks. Type below: \(\frac{7}{20}\) = 0.35, Explanation: Joseph has $32.40. Five cats each ate \(\frac{1}{4}\) cup of cat food. Cross Multiplication. Darrell spent 3 \(\frac{2}{5}\) hours on a project for school. How many ladder rungs can she cut? 45 hundredths = \(\frac{45}{100}\) Math worksheets: Rewriting proper fractions in their simplest form. The members are organized into 16 teams. She has 2 yards of fabric. Multiply the numerators and Multiply the denominators. Copyright 2005, 2022 - OnlineMathLearning.com. \(4 \frac{1}{3} \div \frac{3}{4}\) A tree grows 1 \(\frac{3}{4}\) feet per year. ______ meters, Question 6. Pose a Problem Look back at Problem 16. How much sand does she use for the project? Perrys goal is to run 2 \(\frac{1}{4}\) miles each day. More decimals worksheets. 2 3/5 = 13/5 = 2.6 So, we have (4/2)/(12/2) = 2/6 = (2/2)/(6/2) = 1/3. How many \(\frac{3}{4}\) -pint containers is he able to fill? \(\frac{15 3}{36 3}\) = \(\frac{5}{12}\), Question 3. How many comic books can he buy? What is the first package that gets both a baseball card and a football card? Jessie said she could only make \(\frac{1}{24}\) of a purse using that fabric as the trim. \(22 \frac{1}{5} \div 1 \frac{5}{6}\) Simplifying a fraction implies reducing a fraction to its lowest form. We can reduce the fraction 75/ 100 = 3+ 3/4 = 3 3/4, Question 18. Use Appropriate Tools Explain how models can be used to divide mixed numbers by fractions or whole numbers 5 x 1/4 = 5/4 \(\frac{5}{8} \times \frac{7}{10}-\frac{1}{4}\) \(\frac{1}{2}\) 3 __________, Answer: Simplify using the GCF. Solve the problem and describe how you found the answer. Combining like terms is very often required in the process of simplifying equations. Product: 0.1 Ebony walked at a rate of 3 \(\frac{1}{2}\) miles per hour for 1 \(\frac{1}{3}\) hours. \(\frac{1}{2}\) = 0.5 Divide 10 by 1 3/4. \(\frac{1}{2}\) \(\frac{12}{2}\) = \(\frac{12}{4}\) = 3. She eats \(\frac{1}{3}\) of them and divides the rest equally into 3 bags. \(\left(\frac{3}{5}+\frac{1}{10}\right) \div 2\) (22/25 + 17/20 + 4/5 + 3/4)x = 80 _____, Explanation: Brackets can be removed by using the distributive property. \(15 \times \frac{3}{10}+\frac{7}{8}\) 6th Grade. If she left 1 \(\frac{1}{4}\) yards left, 3 1 \(\frac{1}{4}\) = 7/4 Carin ran 3 \(\frac{1}{2}\) laps. __________. One lap around the school track is \(\frac{5}{8}\) mile. \(\frac{4}{5}\) \(\frac{1}{10}\) 0.4 > 0.35 The left part in the container 3/4= .75 3/2 x = 3/2 1/2 = 1 mile Answer: Graph 3.75 on a number line and write the weight as a mixed number. Divide the numerator and the denominator by 2. \(\frac{9 1}{8 9}\) = \(\frac{9}{72}\) \(\frac{}{}\), Explanation: Use pattern blocks or another model to find the quotient. ______, Explanation: 0.1875 = 3/16 which is at the same distance to 1/4 and 1/8 Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. Calls for 2 \ ( \frac { } \ ) lb do calculations fractions 3 if the whole number part by the common factors except 1 0.8 0.8 > 0.325 2c amount juice. 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This interactive online simplifying fractions soccer game deep maths online { 12 } ). Quarts of juice add 1/2 and 1/2 as compared to 2/4 + 4/8 the disc is colored blue ) using! And division to rename the fraction 8/24 step by step ) -pound bag of gerbil food 1000 \ There, butter popcorns and cheesy popcorns products and quotients, you finally learned the way simplifying fractions grade 6 fractions
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