Question

Divide 5/8÷3/4
.(1 point)
Responses

1 1/2
1 1/2

1/8
1 eighth

5/6
5 sixths

3/4

Answer 1

To divide the fractions \( \frac{5}{8} \) by \( \frac{3}{4} \), we can multiply by the reciprocal of the second fraction.

So, we have:

\[
\frac{5}{8} \div \frac{3}{4} = \frac{5}{8} \times \frac{4}{3}
\]

Now, perform the multiplication:

\[
\frac{5 \times 4}{8 \times 3} = \frac{20}{24}
\]

Next, simplify \( \frac{20}{24} \):

\[
\frac{20 \div 4}{24 \div 4} = \frac{5}{6}
\]

So, \( \frac{5}{8} \div \frac{3}{4} = \frac{5}{6} \).

Therefore, the answer is **\( 5/6 \)**.