Divide by a nonzero fraction
The idea
Ask how many groups of the divisor fit in the dividend; the answer can include part of a group.
Step by step
- Ask how many groups of the divisor fit in the dividend; the answer can include part of a group.
- Keep the dividend and multiply by the reciprocal of the nonzero divisor.
- Simplify, then multiply quotient by divisor to recover the dividend.
Example
Find ÷ 1/2. Give the quotient in simplest form.
Answer
Multiply by the reciprocal of the divisor: × = = 3/2.
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Use a strip model to show how many halves fit in three quarters. Compare it with × 2.
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