Fraction Division & Reciprocals

Dividing by a fraction equals multiplying by its reciprocal

Medium

Practice Overview

Description: How many halves are in 4? Tap “Cut” and each whole splits into two halves — 8 pieces in all. Dividing by 1/2 is multiplying by 2: flip the fraction and division becomes multiplication.
Estimated Time: 10min
Tags: fraction divisionreciprocalcutting modelflip and multiply
Access Level: Free

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About This Practice

Dividing by a fraction equals multiplying by its reciprocal: how many halves are in 4? Tap “Cut” and each whole splits into two halves — 8 pieces in all, so 4 ÷ 1/2 = 8. Flip the fraction and division turns into multiplication.

How many halves are in 4? Tap “Cut” and each whole splits into two halves — 8 pieces in all. Dividing by 1/2 is multiplying by 2: flip the fraction and division becomes multiplication.

MediumEstimated Time: 10minfraction divisionreciprocalcutting modelflip and multiply

How to Play

Read the problem: how many halves are in 4?
Tap “Cut” and watch each whole split into two halves.
Count the pieces: 8 in all.
Write the sentence: 4 ÷ 1/2 = 4 × 2 = 8.
Think it over: dividing by 1/3 becomes multiplying by what — and why?

Learning Objectives

Understand why dividing by a fraction means multiplying by its reciprocal.
Convert fraction division into multiplication correctly.
Explain results with the cutting model.

Fraction Division & Reciprocals

About This Practice

How to Play

Learning Objectives

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