Question

Multiply 2/11 by the reciprocal of -5/14

Answer 1

According to the question, we need to multiply $\frac{2}{11}$ by the reciprocal of $\frac{-5}{14}$;

The reciprocal of  $\frac{-5}{14}$ is $\frac{-14}{5}$;

Now, moving on with the calculation;

$\frac{2}{11}$ × $\frac{-14}{5}$

= [2 × (-14)] ÷ [11 × 5]

= $\frac{-28}{55}$

Ans) On multiplying $\frac{2}{11}$ with the reciprocal of  $\frac{-5}{14}$, we get  $\frac{-28}{55}$

(A simple calculation; keep in mind that on reciprocating a negative fraction, the minus sign will always remain with the numerator)

Answer 2

The answer will be $\frac{-28}{55}$.

Step-by-step explanation:

Reciprocal of $\frac{-5}{14}$ is $\frac{-14}{5}$.

Now, multiplying $\frac{2}{11}$ with $\frac{-14}{5}$,

$\frac{2}{11} \times \frac{-14}{5}\\\\= \frac{-28}{55}$

Hence, the answer will be $\frac{-28}{55}$.