What is 7/8 ÷ 3/4?(1 point)

Responses

6/7

32/21

7/6

21/32

1 answer

To divide fractions, you multiply by the reciprocal of the divisor.

So, for \( \frac{7}{8} \div \frac{3}{4} \):

  1. Find the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \).
  2. Multiply \( \frac{7}{8} \) by \( \frac{4}{3} \):

\[ \frac{7}{8} \times \frac{4}{3} = \frac{7 \times 4}{8 \times 3} = \frac{28}{24} \]

  1. Simplify \( \frac{28}{24} \):

The greatest common divisor of 28 and 24 is 4. So, \( \frac{28 \div 4}{24 \div 4} = \frac{7}{6} \).

Therefore, \( \frac{7}{8} \div \frac{3}{4} = \frac{7}{6} \).

The correct answer is \( \frac{7}{6} \).