Question

Mark the correct alternative in each of the following:

$\frac{44}{-77}$ in standard form is

(a) $\frac{4}{-7}$ (b) $-\frac{4}{7}$ (c) $-\frac{44}{77}$ (d) None of these

Answer 1

The denominator of $\frac{44}{-77}$ is negative.

Firstly, multiply the numerator and denominator by −1 to make it positive.

$\frac{44}{-77}=\frac{44\times \left(-1\right)}{-77\times \left(-1\right)}=\frac{-44}{77}$

Now,

HCF of 44 and 77 = 11

Dividing the numerator and denominator of $\frac{-44}{77}$ by 11, we have

$\frac{-44}{77}=\frac{-44÷11}{77÷11}=\frac{-4}{7}=-\frac{4}{7}$

Thus, the standard form of $\frac{44}{-77}$ is $-\frac{4}{7}$.

Hence, the correct answer is option (b).