Question

What is the equivalent rational number for -15/36 with ( i) denominator 12 (ii) numerator -75 ?

Answer 1

We are given rational number -15/36

(i) denominator 12

since 36 divided by 3 is 12

in order to get the denominator 12 , we have to divide both numerator and denominator by 3

(-15÷3)/(36÷3)

=$\frac{-5}{12}$

(ii) numerator -75

in order to get numerator -75, we multiply -15 with 5

so we multiply both numerator and denominator by 5

(-15*5)/(36*5)

=$\frac{-75}{180}$

Answer 2

Answer:

Given:

Rational number = $\frac{-15}{36}$

To find: Equivalent rational number with denominator = 12 and numerator = -75

(i). Equivalent rational number with denominator = 12

let x be the required numerator of the equivalent rational number.

Consider,

$\frac{-15}{36}=\frac{x}{12}$

$x=\frac{-15}{36}\times12$

x = -5

Thus, Required rational number is -5/12

(ii). Equivalent rational number with numerator = -75

let y be the required denominator of the equivalent rational number.

Consider,

$\frac{-15}{36}=\frac{-75}{y}$

$y=-75\times\frac{36}{-15}$

x = 180

Thus, Required rational number is -75/180