Question

Fill in the boxes with the correct symbol of $>,<,$ and =.$\dfrac{8}{-13} \fbox{} \dfrac{-8}{13}$

Answer 1

Hint: We can solve this question by using the property of equivalent fractions. If two fractions have an equal numerator and equal denominator then we can say fractions are equivalent.

Complete step-by-step solution -
Given fractions $\dfrac{8}{-13}\fbox{} \dfrac{-8}{13}$
Let’s take fraction from left hand side i.e $\dfrac{8}{-13}$
On multiplying numerator and denominator by -1
 $\dfrac{8\times -1}{-13\times -1} =\dfrac{-8}{13}$
The fraction which we get as a result is the equivalent right-hand side fraction.
Hence we can say given fractions are equivalent.
$\dfrac{8}{-13} \boxed{=} \dfrac{-8}{13}$

Note: When we multiply any number in the fraction from our side, we do multiplication in both numerator and denominator. So in the above question, if we are multiplying -1 in the fractions we should keep in mind that we need to do multiplication in both and numerator.