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Dividing Fractions by Integers WORKSHEET
Suitable for Grades: 5th Grade, 6th Grade
CCSS: 5.NF.B.7, 6.NS.A.1
CCSS Description: Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1 a. Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4, and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) × 4 = 1/3.b. Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that 4 ÷ (1/5) = 20 because 20 × (1/5) = 4. c. Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3-cup servings are in 2 cups of raisins?
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. For example, create a story context for (2/3) ÷ (3/4) and use a visual fraction model to show the quotient; use the relationship between multiplication and division to explain that (2/3) ÷ (3/4) = 8/9 because 3/4 of 8/9 is 2/3. (In general, (a/b) ÷ (c/d) = ad/bc.) How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 3/4-cup servings are in 2/3 of a cup of yogurt? How wide is a rectangular strip of land with length 3/4 mi and area 1/2 square mi?
Dividing Fractions by Integers WORKSHEET DESCRIPTION
Introduce students to dividing fractions by whole numbers through a carefully sequenced mix of visual, procedural, and reasoning tasks.
Section A uses bar models to show what dividing a fraction means, helping learners grasp the concept before moving to symbolic calculations. Section B builds fluency by matching division expressions to their equivalent multiplication-by-reciprocal forms and practising straightforward problems. Section C deepens understanding with error-spotting and gap-fill questions that highlight common misconceptions and reinforce correct methods.
The progression from visual to abstract strengthens conceptual understanding while supporting confidence and accuracy.
Section A uses bar models to show what dividing a fraction means, helping learners grasp the concept before moving to symbolic calculations. Section B builds fluency by matching division expressions to their equivalent multiplication-by-reciprocal forms and practising straightforward problems. Section C deepens understanding with error-spotting and gap-fill questions that highlight common misconceptions and reinforce correct methods.
The progression from visual to abstract strengthens conceptual understanding while supporting confidence and accuracy.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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This dividing fractions by integers worksheet is designed for students in 5th Grade and 6th Grade and aligns with Common Core State Standards.