Question

What number should be subtracted from $\frac{27}{11}$ so as to get $\frac{-5}{33}$ ?

• A. $\frac{34}{11}$
• B. $\frac{86}{33}$
• C. $\frac{84}{33}$
• D. $\frac{32}{11}$

Answer 1

The correct option is B $\frac{86}{33}$

Let the number be x
We have, difference of the given number and the required number = $\frac{-5}{33}$
Given number = $\frac{27}{11}$
$\frac{27}{11}-x=\frac{-5}{33}$
Therefore x = $\frac{27}{11}-\frac{-5}{33}=\frac{27}{11}+\frac{5}{33}=\frac{27\times 3+5\times 1}{33}=\frac{81+5}{33}=\frac{86}{33}$
Therefore, required number is $\frac{86}{33}$.