Question

Question
What is the reciprocal of 7 2/5
?(1 point)

Answer 1

To find the reciprocal of \( 7 \frac{2}{5} \), first convert it to an improper fraction.

1. Convert \( 7 \frac{2}{5} \) to an improper fraction:
\[
7 \frac{2}{5} = \frac{(7 \times 5) + 2}{5} = \frac{35 + 2}{5} = \frac{37}{5}
\]

2. The reciprocal of a fraction is obtained by flipping the numerator and the denominator:
\[
\text{Reciprocal of } \frac{37}{5} = \frac{5}{37}
\]

Thus, the reciprocal of \( 7 \frac{2}{5} \) is \( \frac{5}{37} \).