Question

5. The reciprocal of 9 2/8 is
a) 74/8 b) 4/37 c) 37/4 d) 5/8

Answer 1

Answer:

4/37

Step-by-step explanation:

9 2/8 = 74/8 = 37/4

So reciprocal of 9 2/8 is

1/ (9 2/8)

= 1/ (37/4)

= 4/37

Answer 2

Answer: $\frac{4}{37}$

Step-by-step explanation:

As per the data given in the question,

We have to determine the value of reciprocal of the fraction $9\frac{2}{8}$

So, for finding the reciprocal of the given fraction,

We need to convert the mixed fraction into improper fraction,

So, we will get,

$9\frac{2}{8} = \frac{9\times 8+2}{8} = \frac{74}{8}$

Hence, simplifying the obtained fraction,

We will get,

$\frac{74}{8} = \frac{37}{4}$

Hence, for finding the reciprocal, we need to interchange the position of numerator and denominator of the fraction.

So, we will get,

$\frac{4}{37}$.

Hence, reciprocal of the given fraction $9\frac{2}{8}$ will be $\frac{4}{37}$