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Mathematics
Dividing fractions — Why multiply by the reciprocal?
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Measure a length in fractional groups, then explore the reciprocal factor.
3/4 ÷ 1/2 = ?
Drag an endpoint or select Show groups to compare lengths.
The quotient counts whole groups and fractions of a group.
3/4 ÷ 1/2
Preparing resourceModel notes
- All segments use the same unit of length. A group can be used partly; the quotient includes whole and partial groups.
- The model uses nonnegative quantities and positive group sizes. Division by zero is not defined; negative fractions also require sign rules.
- Denominators and lengths are limited to keep the parts visible. Results are exact fractions; these viewing limits do not restrict the reciprocal rule.