Question

Evaluate 5/2 divided by 7/4 and simplify

Answer 1

To evaluate \(\frac{5}{2}\) divided by \(\frac{7}{4}\), we can multiply by the reciprocal of \(\frac{7}{4}\):

\[
\frac{5}{2} \div \frac{7}{4} = \frac{5}{2} \times \frac{4}{7}
\]

Now, we can multiply the fractions:

\[
\frac{5 \times 4}{2 \times 7} = \frac{20}{14}
\]

Next, we simplify \(\frac{20}{14}\) by finding the greatest common divisor (GCD) of the numerator and denominator. The GCD of 20 and 14 is 2.

Now, we divide both the numerator and the denominator by 2:

\[
\frac{20 \div 2}{14 \div 2} = \frac{10}{7}
\]

Thus, \(\frac{5}{2} \div \frac{7}{4} = \frac{10}{7}\).

The final answer is:

\[
\frac{10}{7}
\]