Question

express (-8)/11 as a rational number with denomination (a)22 (b)-55 please give answer in full solution​

Answer 1

Answer: we have to express -8/11 as a number with denominator (a)22

multiple numerators and denominator by 2== -16/22

(b) -55

Step-by-step explanation:

Answer 2

Answer:

(a) The equivalent fraction of   $\frac{-8}{11}$ with denominator 22 = $\frac{-16}{22}$

(b) The equivalent fraction of   $\frac{-8}{11}$ with denominator -55 = $\frac{40}{-55}$

Step-by-step explanation:

Given number is $\frac{-8}{11}$

Required to find a rational number equivalent to $\frac{-8}{11}$ with denominator

(a) 22 and (b) -55

Recall the concepts

To find a rational number equivalent to a given rational number,

we should multiply the numerator and denominator with the same number

Solution:

(a) denominator = 22

The fraction is   $\frac{-8}{11}$ , to get the denominator 22, we should multiply the denominator of the fraction with 2

Hence to find an equivalent fraction with denominator 22, we should multiply the numerator and denominator of the fraction with 2

$\frac{-8}{11}$ = $\frac{-8 X 2}{11X2}$ = $\frac{-16}{22}$

(b) denominator -55

The fraction is   $\frac{-8}{11}$ , to get the denominator -55, we should multiply the denominator of the fraction with (-5)

Hence to find an equivalent fraction with the denominator -55, we should multiply the numerator and denominator of the fraction with -5

$\frac{-8}{11}$ = $\frac{-8 X -5}{11X-5}$ = $\frac{40}{-55}$

∴ The equivalent fraction of   $\frac{-8}{11}$ with denominator 22 = $\frac{-16}{22}$

The equivalent fraction of   $\frac{-8}{11}$ with denominator -55 = $\frac{40}{-55}$

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