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Question 1: Express
(-3)/(5) as a rational number with denominator.
(i) 20
(ii) -30
(iii) 35
(iv) -40

Question $1$ : Express $\frac{-3}{5}$ as a rational number with denominator. $\newline$ (i) $20$ $\newline$ (ii) $-30$ $\newline$ (iii) $35$ $\newline$ (iv) $-40$

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Simplify exponential expressions using the multiplication and division rules

Full solution

Q. Question

1

: Express

\frac{-3}{5}

as a rational number with denominator.

\newline

(i)

20

\newline

(ii)

-30

\newline

(iii)

35

\newline

(iv)

-40

Multiply by $4$ : To get a denominator of $20$ , multiply both the numerator and denominator of $\frac{-3}{5}$ by $4$ . $\frac{-3}{5} \times \frac{4}{4} = \frac{-12}{20}$
Multiply by $-6$ : To get a denominator of $-30$ , multiply both the numerator and denominator of $\frac{-3}{5}$ by $-6$ . $\frac{-3}{5} \times \frac{-6}{-6} = \frac{18}{-30}$
Multiply by $7$ : For a denominator of $35$ , multiply both the numerator and denominator of $\frac{-3}{5}$ by $7$ . $\frac{-3}{5} \times \frac{7}{7} = \frac{-21}{35}$
Multiply by $-8$ : To get a denominator of $-40$ , multiply both the numerator and denominator of $\frac{-3}{5}$ by $-8$ . $\frac{-3}{5} \times \frac{-8}{-8} = \frac{24}{-40}$

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