Question

What number should be subtract from $\frac{-5}{3}$ to get $\frac{5}{6}$

• A. $\frac{97}{65}$
• B. $\frac{119}{8}$
• C. $\frac{107}{43}$
• D. $\frac{103}{72}$

Answer 1

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

It is given that:
The sum of two numbers is $\frac{5}{6}$

One of the number is $\frac{-5}{3}$

Let, the other number be $x$

$\therefore x+\frac{-5}{6}=\frac{5}{6}\Rightarrow X=\frac{5}{6}-\frac{-5}{3}\Rightarrow X=\frac{5}{6}-\frac{-5\times 2}{3\times 2}\Rightarrow X=\frac{5}{6}-\frac{-63}{72}\Rightarrow X=\frac{40+63}{72}\Rightarrow X=\frac{103}{72}$

Hence, the other number is $\frac{103}{72}$