Question

By what number should-3/4 be multiplied so that the product become 2/3 ​

Answer 1

let X should be multiplied to -3/4 to get 2/3,

then,

x×(-3/4)= 2/3

X= -2×4/3×3 = -8/9

so product of -8/9 and -3/2 will be equal to 2/3

Answer 2

Let us take the number as x which has to be multiplied to -3/4 to get 2/3.

From the given data,

$x \times \frac{ - 3}{4} = \frac{2}{3}$

$\frac{ - 3}{4} x = \frac{2}{3}$

$x = \frac{2}{3} \div \frac{ - 3}{4}$

$x = \frac{2}{3} \times \frac{4}{ - 3}$

$x = \frac{8}{-9}$

Verification :

$\frac{ - 3}{4} \times \frac{8}{ - 9} = \frac{2}{3}$

$\frac{ - 24}{ - 36} = \frac{2}{3}$

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

Hope it is clear :-)