How to Multiply Fractions by Whole Numbers
To multiply a fraction by a whole number, use the whole number over 1 method and then multiply straight across:
- Rewrite the whole number as a fraction by placing it over 1. Example: 7 becomes 7/1.
- Multiply the numerators: multiply the top numbers together.
- Multiply the denominators: multiply the bottom numbers together (the denominator stays the same because you multiply by 1).
- Simplify the result and convert to a mixed number if the fraction is improper.
Worked example: 3/5 × 7
- Rewrite: 3/5 × 7/1
- Multiply numerators: 3 × 7 = 21
- Multiply denominators: 5 × 1 = 5
- Result: 21/5 = 4 1/5
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