Find the reciprocal of $(1)/(-2) \cdot \left(-(1)/(3)\right) \cdot (1)/(-4) \cdot \left( -(1)/(5) \right)$.

Question

Find the reciprocal of
`$(1)/(-2) \cdot \left(-(1)/(3)\right) \cdot (1)/(-4) \cdot \left( -(1)/(5) \right)$.`

Answer 1

120

Explanation:

Lets take it step by step!

Step 1 : first mutiply -1/2 * -1/3

-1/2 * -1/3 = 1/6

(remember to mutiply fractions we have to mutiply there denominator and numerator together)

Step 2 : then move on and multiply 1/6 * -1/4

1/6 * -1/4 =

-1/24

Step 3 : Next we have to go and multiply -1/24 by -1/5

-1/24 * -1/5 =

1/120

Step 4 : Finally we switch the numerator and denominator to find its reciprocal which is :

120!