Question

. The sum of the rational numbers – 8/19 and -4/57 is _____ *

1 point

(a) -5/57

(b) 7/22

(c) -28/57

(d) 4/27 ​

Answer 1

Step-by-step explanation:

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

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

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

$\frac{ - 28}{57}$

Answer 2

Given:

$\frac{-8}{19}, \frac{-4}{57}$

To find:

The sum of the numbers $\frac{-8}{19}, \frac{-4}{57}$

Step-by-step explanation:

• We need to find the sum of the numbers $\frac{-8}{19}, \frac{-4}{57}$.
• By "sum", the question means we need to add rational numbers.
• In order to do this, we need to make the denominator the same. We can do this by finding out the LCM of its denominator.

Solution:

The LCM of 19 and 57 = 57

$= \frac{-8}{19} + \frac{-4}{57}\\\\=\frac{-8*3 + (-4)}{57}\\\\\frac{-24 - 4}{57}\\\\= \frac{-28}{57}$

Hence, the sum of the numbers $\frac{-8}{19}, \frac{-4}{57}$ is $\frac{-28}{57}$