Question

What should be added to $\frac{-8}{9}$ to get $\frac{-1}{6}$

• A. $\frac{-13}{18}$
• B. $\frac{13}{18}$
• C. $\frac{19}{18}$
• D. $\frac{-19}{18}$

Answer 1

The correct option is B

$\frac{13}{18}$

Let the number to be added be $x$

$\therefore$ $x+\frac{-8}{9}$ = $\frac{-1}{6}$

$x$ = $\frac{-1}{6}$ + $\frac{8}{9}$

LCM of 6 and 9 is 36

$\therefore$ $x$ = $\frac{-1\times 6}{6\times 6}$ + $\frac{8\times 4}{9\times 4}$

= $\frac{-6+32}{36}$

= $\frac{26}{36}$

= $\frac{13}{18}$