Question

express 9/-15 as a rational number with------ (i) denominator 5 (ii) numerator -12 (iii) denominator 30

Answer 1

a=9/-5*3
=-3/5
b=3*3/-3*5...(3get cancelled)
3/-5=-4*3/4*5 ....(multiplyyy by 4 to N n D)
=-12/20
c=2*9/2*-15 ...(multiply by 2 to N n D)
=-18/30
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Answer 2

Answer:

(i) Denominator 5

$\begin{array}{l}{\frac{9}{-15}=\frac{x}{5}} \\ {x=5 \times \frac{9}{-15}}\end{array}$

Cancelling the terms, we get,

x= -3, substitute the value of x in the above equation,

Hence, the number is $\bold{\frac{-3}{5}}$.

(ii) Numerator -12

$\begin{array}{l}{\frac{9}{-15}=\frac{-12}{x}} \\ {x=\frac{-15}{9} \times-12}\end{array}$

Cancelling the terms, we get,

x=20, substitute the value of x in the above equation,

Hence, the number is  $\bold{\frac{-12}{20}}$.

(iii) Denominator 30

$\begin{array}{l}{\frac{9}{-15}=\frac{x}{30}} \\ {x=30 \times \frac{9}{-15}}\end{array}$

Cancelling the terms, we get,

x=-18, substitute the value of x in the above equation,

Hence, the number is  $\bold{\frac{-18}{30}}$.