Question

What should be added to $-\frac{21}{36}$ to get $-\frac{1}{9}$ ?

• A. $\frac{-17}{36}$
• B. $\frac{17}{36}$
• C. $\frac{25}{36}$
• D. $\frac{-25}{36}$

Answer 1

The correct option is B

$\frac{17}{36}$

$(-\frac{1}{9})-(-\frac{21}{36})$

=$(-\frac{1}{9})$ + $\left(\frac{21}{36}\right)$

=$\left(\frac{-1\times 4}{9\times 4}\right)$ + $\left(\frac{21}{36}\right)$

=$(-\frac{4}{36})$ + $\left(\frac{21}{36}\right)$

=$\left(\frac{-4+21}{36}\right)$

=$\frac{17}{36}$