6.NS.A.1: Dividing fractions

Also written as 6.NS.1

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.

In plain words: Students divide a fraction by a fraction, explain the result with a model or an equation, and solve word problems like how many 3/4-cup servings are in 2/3 of a cup.

Quick picks

Common mistake
Flipping the wrong fraction: 1/2 ÷ 1/5 done as 2 × 1/5 = 2/5 instead of 1/2 × 5 = 5/2.
Builds on
5.NF.B.4Multiplying fractions5.NF.B.7Dividing unit fractions
Leads to
7.NS.A.2Multiplying and dividing rational numbers7.RP.A.1Unit rates with fractions
Example Problems
Divide:
Divide:
Divide:
Khan Academy Resources
Dividing fractions reviewDividing fractions word problemsInterpret fraction divisionUnderstanding dividing fractions by fractionsDivide whole numbers by fractionsDivide mixed numbersDividing fractionsDividing fractions: 3/5 ÷ 1/2Dividing mixed numbersDividing whole numbers & fractions: t-shirtsMeaning of the reciprocalDividing fractions: 2/5 ÷ 7/3Dividing a whole number by a fractionArea with fraction division exampleUnderstanding division of fractionsDividing a fraction by a whole numberDividing mixed numbers
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