Question

The sum of the rational number -8/19 and -4/57 is _____

Answer 1

sum of rational no.-8/19,-4/57=-8/19+(-4/57)

=-8/19-4/57=(-24-4)/57=-28/57

Answer 2

Given data: The rational numbers $\frac{-8}{19}$ and $\frac{-4}{57}$.

To Find: The sum of the rational numbers $\frac{-8}{19}$ and $\frac{-4}{57}$.

Solution:

The sum is defined as the addition.

Add the rational numbers $\frac{-8}{19}$ and $\frac{-4}{57}$ , it can be written as,

$=\frac{-8}{19}+\frac{-4}{57}$

Since, denominators are different, take LCM,

LCM=57, because it is divisible by both terms.

Multiply the numerator and denominator of first term by 3 and second term by 1.

$=\frac{-8}{19}$×$\frac{3}{3}$$+$$\frac{-4}{57}$×$\frac{1}{1}$

$=\frac{-24+(-4)}{57}$

$=\frac{-24-4}{57}$

$=\frac{-28}{57}$

Therefore, the sum of the rational numbers $\frac{-8}{19}$ and $\frac{-4}{57}$ is $\frac{-28}{57}$.