Dividing Fractions - How Many Groups? - Grade 6 Worksheet - Mixed Fractions and Multiplicative Comparison

Oct 8, 2026

Uploaded by Mabel

Grade 6 practice worksheet on dividing fractions using tape diagrams and number lines. Students solve word problems that ask how many equal groups can be formed from a given quantity, including flour per loaf, distances walked, laps around a trail, and jam jar packing. Problems also require forming multiplication and division equations, then expressing answers as mixed fractions or mixed numbers, including comparisons of study time ratios.

LanguageEnglish

CategoryExam

FormatPDF

Pages4

Reading Time10 min

AccessFree to download

Solve each problem

Tape diagrams and mixed fractions

Number line and mixed numbers

Write multiplication and division equations

Kuta Software-Infinite Grade 6 Math Dividing Fractions-How Many Groups? Name Date Period Solve each problem. A tape diagram is provided. 1) Stefan uses 2 cups of flour to make bread. Each loaf requires 12 cup of flour. How many loaves can he make? 2 cups 1 loaf 1 loaf 1 loaf 1 loaf | | | | | | --- | --- | --- | --- | 2) Jill walked 12 mile on Saturday and 214 miles on Sunday. How many times as long was Sunday's walk compared with Saturday's walk? 2 ~~ ~~14 miles | 14 | 14 | 1
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4 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | 1 1 1 1 1 2 Sketch a tape diagram, and then solve. Express your answer as a mixed fraction. 3) Perry ran a total of 123 miles around a 29 mile trail. How many laps did he run? Solve each problem. Express your answer as a mixed number. A number line is provided. 2 4) Perry has some jars that can each hold cup of jam. He has 3 cups of jam. How many jars can he 3 fill? cups 0 1 3 2 3 1 113 123 2 213 223 3 5) Jasmine studied for 2 hours for a quiz and wasn't satisfied with her grade. For the test, she studied for 325 hours. How many times as long did she spend studying for the test compared with the quiz? hours 0 1 2 3 4 1 1 2 3 4 2 1 2 3 4 3 1 2 5 5 5 5 15 15 15 15 25 25 25 25 35 35 For each problem, write a multiplication equation and a division equation, and then solve. 6) How many groups of2 are in 6? 7) How many groups of ~~ ~~12 are in 10? 8) How many groups of ~~ ~~23 are in 2? 9) How many groups of ~~ ~~34 are in 118? Solve each problem. 1 2 5 10) 3 ÷ 11) 2 ÷ 4 3 6 Kuta Software-Infinite Grade 6 Math Dividing Fractions-How Many Groups? Name Date Period Solve each problem. A tape diagram is provided. 1) Stefan uses 2 cups of flour to make bread. Each loaf requires 12 cup of flour. How many loaves can he make? 2 cups 1 loaf 1 loaf 1 loaf 1 loaf | | | | | | --- | --- | --- | --- | 4 loaves 2) Jill walked 12 mile on Saturday and 214 miles on Sunday. How many times as long was Sunday's walk compared with Saturday's walk? 2 ~~ ~~14 miles | 14 | 14 | 1
4 | 1
4 | 1
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4 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | 1 1 1 1 1 2 412 Sketch a tape diagram, and then solve. Express your answer as a mixed fraction. 3) Perry ran a total of 123 miles around a 29 mile trail. How many laps did he run? 1 ~~ ~~23 miles | 19 | 19 | 1
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9 | | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | 1 lap 1 lap 1 lap 1 lap 1 lap 1 lap 1 lap 1 2 lap 712 laps Solve each problem. Express your answer as a mixed number. A number line is provided. 2 4) Perry has some jars that can each hold cup of jam. He has 3 cups of jam. How many jars can he 3 fill? cups 0 1 3 2 3 1 113 123 2 213 223 3 412~~ ~~ jars 5) Jasmine studied for 2 hours for a quiz and wasn't satisfied with her grade. For the test, she studied for 325 hours. How many times as long did she spend studying for the test compared with the quiz? hours 0 1 2 3 4 1 1 2 3 4 2 1 2 3 4 3 1 2 5 5 5 5 15 15 15 15 25 25 25 25 35 35 1~~ ~~710 For each problem, write a multiplication equation and a division equation, and then solve. 6) How many groups of2 are in 6? ? × 2 = 6 6 ÷ 2 = ? 3 8) How many groups of ~~ ~~23 are in 2? ? × 23 = 2 2 ÷ 23 = ? 3 7) How many groups of ~~ ~~12 are in 10? ? × 12 = 10 10 ÷ 12 = ? 20 9) How many groups of ~~ ~~34 are in 118? ? × 34 = 118 118 ÷ 34 = ? 1 1 2 Solve each problem. 1 2 5 10) 3 ÷ 11) 2 ÷ 4 3 6 12 3 1 Create your own worksheets like this one wit

FAQs

How do you find how many groups are in a given total when groups are fractional?

Use multiplication/division reasoning: if each group has a fractional size, set up a division equation for the number of groups and verify with a multiplication equation.

What tools does the worksheet use to solve the problems?

Tape diagrams are provided for the “how many groups” problems, and a number line is provided for one section that requires mixed-number answers.

What form should answers be written in?

Some answers must be expressed as mixed fractions, and others must be expressed as mixed numbers, depending on the problem section.

Oct 8, 2026

Uploaded by Mabel