Multiplying two mixed numbers
- Select a mixed number. (1 2/3, 5 1/8, etc.)
- Select a multiplier using the same whole number and a fraction that sums to 1
with the first number's fractional part.
- The whole number in the answer will be the whole number times the next number.
- To find the fraction, multiply the two fractional parts.
Example:
- The first mixed number chosen is 7 1/4.
- Select 7 3/4 as the multiplier (same whole number,
fraction that sums to 1 with the first fraction.
- The product's whole number will be 7 x 8 (next number) = 56.
- The product's fraction will be 1/4 x 3/4 = 3/16.
- So 7 1/4 x 7 3/4 = 56 3/16.
See the pattern?
- The first mixed number chosen is 8 1/3.
- Select 8 2/3 as the multiplier (same whole number,
fraction that sums to 1 with the first fraction.
- The product's whole number will be 8 x 9 (next number) = 72.
- The product's fraction will be 1/3 x 2/3 = 2/9.
- So 8 1/3 x 8 2/3 = 72 2/9.
One more:
- The first mixed number chosen is 20 1/8.
- Select 20 7/8 as the multiplier (same whole number,
fraction that sums to 1 with the first fraction.
- The product's whole number will be 20 x 21 (next number) = 420.
- The product's fraction will be 1/8 x 7/8 = 7/64.
- So 20 1/8 x 20 7/8 = 420 7/64.
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