Question

On subtracting $\frac{-3}{4}$ from $\frac{-5}{6}$ we get :

• A. $\frac{-1}{12}$
• B. $\frac{1}{12}$
• C. $\frac{2}{3}$
• D. $\frac{-2}{3}$

Answer 1

The correct option is A

$\frac{-1}{12}$

Subtract $\frac{-3}{4}$ from $\frac{-5}{6}$

= ($\frac{-5}{6}$) - ($\frac{-3}{4}$)

= ($\frac{-5}{6}$) + ($\frac{3}{4}$)

= ($\frac{-5\times 2}{6\times 2}$) + ($\frac{3\times 3}{4\times 3})$
[LCM of 6 and 4 is 12 ]

= ($\frac{-10}{12}$) + ($\frac{9}{12}$)

= $\frac{-10+9}{12}$

= $\frac{-1}{12}$