Question

What number should be added to $\frac{-7}{8}$ so as to get $\frac{5}{9}$?

• A. $\frac{103}{36}$
• B. $\frac{103}{72}$
• C. $\frac{100}{36}$
• D. $\frac{75}{36}$

Answer 1

The correct option is B $\frac{103}{72}$

Given number $=\frac{-7}{8}$

The sum of the given number and the required number $=\frac{5}{9}$
$\therefore$ Required number = sum of the numbers - given number
$=\frac{5}{9}-\left(\frac{-7}{8}\right)$
$=\frac{5}{9}+\frac{7}{8}$
$=\frac{40+63}{72}$
$=\frac{103}{72}$
The required number is $\frac{103}{72}$