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Question Stats:
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13%
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Which of the following does NOT equal 7/4?
A. \(\frac{4}{7}÷\frac{16}{49}\)
B. \(\frac{14}{15}÷\frac{15}{8}\)
C. \(\frac{3}{2}÷\frac{6}{7}\)
D. \(\frac{7}{11}÷\frac{4}{11}\)
E. \(\frac{7}{12}÷\frac{1}{3}\)
_________________
A. \(\frac{4}{7}÷\frac{16}{49}\)
B. \(\frac{14}{15}÷\frac{15}{8}\)
C. \(\frac{3}{2}÷\frac{6}{7}\)
D. \(\frac{7}{11}÷\frac{4}{11}\)
E. \(\frac{7}{12}÷\frac{1}{3}\)
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8.toastcrunch
Joined: 12 Mar 2023
Last visit: 08 Jul 2026
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Posts: 101
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction.
For (A), we have:
4/7 ÷ 16/49 = 4/7 × 49/16 = 7/2
For (C), we have:
3/2 ÷ 6/7 = 3/2 × 7/6 = 7/4
For (D), we have:
7/11 ÷ 4/11 = 7/11 × 11/4 = 7/4
For (E), we have:
7/12 ÷ 1/3 = 7/12 × 3/1 = 7/4
Therefore, the answer is (B) 14/15 ÷ 15/8 = 14/15 × 8/15 = 32/51.
For (A), we have:
4/7 ÷ 16/49 = 4/7 × 49/16 = 7/2
For (C), we have:
3/2 ÷ 6/7 = 3/2 × 7/6 = 7/4
For (D), we have:
7/11 ÷ 4/11 = 7/11 × 11/4 = 7/4
For (E), we have:
7/12 ÷ 1/3 = 7/12 × 3/1 = 7/4
Therefore, the answer is (B) 14/15 ÷ 15/8 = 14/15 × 8/15 = 32/51.
Much better way to solve is to realize that for an equation to be able to equal to 7/4, the numerator has to have a prime factor of 7 and the denominator be at least even.
- The first criteria is meet by all answers
- The second criteria is not meet by B. 15^2 can never be reduced to an even number
- The first criteria is meet by all answers
- The second criteria is not meet by B. 15^2 can never be reduced to an even number
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