Question

Which of the following forms a pair of equivalent rational numbers?
24/40 and 35/50
-25/35 and 55/-77
-8/15 and -24/48
9/72 and -3/21​

Answer 1

Answer:

9/72&-3/21

Step-by-step explanation:

This is because they both are positive and all three are negative so this is the answer

Answer 2

Given,

4 pairs of rational numbers

$\frac{24}{40}$ and  $\frac{35}{50}$

$\frac{-25}{35}$ and $\frac{55}{-77}$

$\frac{-8}{15}$ and $\frac{-24}{48}$

$\frac{9}{72}$ and $\frac{-3}{21}$

To Find,

Which pair of rational numbers form a pair of equivalent rational numbers.

Solution,

We need to simplify each and every pair to get our answer.

For the first pair, $\frac{24}{40}$ = $\frac{3}{5}$, and  $\frac{35}{50}$=$\frac{7}{10}$. Hence, we can say, $\frac{24}{40}$ ≠  $\frac{35}{50}$

Second pair, $\frac{-25}{35}$ = $\frac{-5}{7}$and $\frac{55}{-77}$ =$\frac{-5}{7}$.We also can say that $\frac{-25}{35}$ = $\frac{55}{-77}$.

For the third pair,$\frac{-8}{15}$ and $\frac{-24}{48}$=$\frac{-1}{2}$.Clearly, those are not equal.

Fourth Pair, $\frac{9}{72}$ = $\frac{1}{8}$and $\frac{-3}{21}$=$\frac{-1}{7}$.But $\frac{9}{72}$ ≠ $\frac{-3}{21}$.

Hence, $\frac{-25}{35}$ , $\frac{55}{-77}$ this pair forms a pair of equivalent rational numbers.