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Math Asked by a SnapAndSolve user · about 2 hours ago

Consider 2/3 ÷ 4/7. Which number sentences are true?

5. Consider 2/3 ÷ 4/7. Which number sentences are true? Choose all that apply.
A. 2/3 ÷ 4/7 = 2/3 × 7 ÷ 4
B. 2/3 ÷ 4/7 = 2/3 × 4 ÷ 7
C. 2/3 ÷ 4/7 = 2/3 × 7/4
D. 2/3 ÷ 4/7 = 2/3 × 4/7

Answer

  1. A. True. Dividing by a fraction is the same as multiplying by its reciprocal: 2/3 ÷ 4/7 = 2/3 × 7/4.
  2. B. False. The expression 2/3 × 4 ÷ 7 is not equivalent to 2/3 ÷ 4/7.
  3. C. True. This is the correct way to express the division of fractions: 2/3 ÷ 4/7 = 2/3 × 7/4.
  4. D. False. 2/3 × 4/7 is not equivalent to 2/3 ÷ 4/7.

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