Divide 5/7 ÷ 5/2

Write the answer in simplest form

Choose the best answer from the options below:
A 2 / 7
B 7 / 2
C 10 / 35
D 35 / 10

1 answer

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction.

The reciprocal of 5/2 is 2/5.

Therefore, the division 5/7 ÷ 5/2 is equal to 5/7 * 2/5.

When we multiply the numerators (5 * 2) and the denominators (7 * 5), we get the fraction 10/35.

To simplify this fraction, we can divide the numerator and the denominator by their greatest common factor, which is 5.

Dividing both 10 and 35 by 5 gives us the simplified fraction: 2/7.

Therefore, the answer is A) 2/7.
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