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Compute and give the answer as a mixed number in simplest form.

Class 6FractionsFractions
  • A
  • B
  • C
  • D

Step-by-Step Solution

Like fractions: 5 + 7 = 12 over the unchanged denominator 9, giving . Divide top and bottom by 3 to get , and 4 ÷ 3 = 1 remainder 1, so the answer is comes from adding the denominators as well — and a sum of two fractions each above must be more than 1, not less.
Answer: B)

Key idea: Mixed numbers and improper fractions

An improper fraction like 11/4 can be rewritten as a mixed number. Divide 11 by 4: 11 ÷ 4 = 2 remainder 3. So 11/4 = 2 + 3/4 = 2 3/4. Going the other way: 2 . Both forms name the same number — you choose the one that's easier for the situation. For arithmetic, improper fractions are usually friendlier; for everyday speech, mixed numbers are.

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