Question

The reciprocal of ( 1/4 )x ( - 8/3 )is?

Answer 1

Answer:

-3/2

Step-by-step explanation:

 1          -8

-----  ×  -------

 4           3

= -2

 -----

   3

Hence, the reciprocal of -2/3 is -3/2

Answer 2

The reciprocal of  $\frac{1}{4}*(-\frac{8}{3})$ is  $-\frac{3}{2}$.

Given:

$\frac{1}{4}*(-\frac{8}{3})$

To Find:

We have to find the reciprocal of  $\frac{1}{4}*(-\frac{8}{3})$.

Solution:

This is a simple problem for multiplication.

Let us tackle this question.

We can quickly solve this question as follows.

According to the question,

We have to find the reciprocal of  $\frac{1}{4}*(-\frac{8}{3})$.

Now,

$\frac{1}{4}*(-\frac{8}{3})$

= $-(\frac{1*8}{4*3})$

= $-\frac{2}{3}$

Now, we know, the reciprocal of a fraction  $\frac{x}{y}$  is  $\frac{y}{x}$.

Therefore,

The reciprocal of  $-\frac{2}{3}$  is  $-\frac{3}{2}$.

Hence, the reciprocal of  $\frac{1}{4}*(-\frac{8}{3})$ is  $-\frac{3}{2}$.

#SPJ2