9514 1404 393
Answer:
11 17/21
Explanation:
The method usually recommended is to convert back and forth between mixed numbers and improper fractions. As with the product of any fractions, the product is the product of numerators, divided by the product of denominators.
(2 2/7) × (5 1/6) = (16/7)×(31/6) = (16·31)/(7·6) = 8·31/(7·3) = 248/21
= (231 +17)/21 = 11 17/21
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Alternatively, you can multiply the parts of the sum.
(2 2/7) × (5 1/6) = 2×5 +2×1/6 +2/7×5 +2/7×1/6 = 10 + 1/3 + 10/7 + 1/21
= 11 + 7/21 + 9/21 + 1/21 . . . . . . recognizing 10/7 = 1 3/7 = 1 9/21
= 11 17/21
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Many graphing calculators (and some good calculator apps) can do mixed-number arithmetic directly. It pays to learn to use your calculator.