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Dividing Fractions: Whole Number Divided by a Unit Fraction

fractions · whole number divided by a unit fraction

Use visual models so students can see the logic of division by fractions.

Dividing Fractions: Whole Number Divided by a Unit Fraction is a Grade 5 visual lesson for interpreting how many unit fractions fit inside whole numbers. Students partition whole models into equal fractional parts, count the pieces, and compare several examples such as 3 ÷ 1/6 and 2 ÷ 1/4. The pattern leads naturally toward the relationship between division and multiplying by a reciprocal.

Use it before teaching or formalizing the reciprocal algorithm so students have a picture for why the quotient grows. Ask students to predict the number of fractional pieces before drawing them. Create a free Find a Math Game account to generate teacher-ready lesson support for this fraction-division lesson. No credit card; 3 lesson generations for life.

Grades:
5
Materials:
printable

Standards alignment

5.NF.B.7.B · primary
5.NF.B.7.C

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