Question

If $\frac{-a}{b}\times{\frac{c}{d}}=1$ then, $\frac{c}{d}=?$

• A. $Multiplicative identity of$\frac{-a}{b}$$
• B. $$\frac{a}{b}$
• C. $Reciprocal of$\frac{-a}{b}$$
• D. $$\frac{-a}{b}$$

Answer 1

Answer:

$Reciprocal of$\frac{-a}{b}$$

Given:

$\frac{-a}{b}\times{\frac{c}{d}}=1$

Formula:

Reciprocal of x = $\frac{1}{x}$

Calculation:

$[\frac{-a}{b}]\times{\frac{c}{d}}=1$,

$\frac{c}{d}=1\times{\frac{-b}{a}}$

$\frac{c}{d}=\frac{-b}{a}$

Reciprocal of $(\frac{-a}{b})=(\frac{-b}{a})$

∴ $\frac{c}{d}=(\frac{-b}{a})$=Reciprocal of $(\frac{-a}{b})$