Question

add the following:-
-3/7,2/9,0,8/7,-13/7
please help me in this question ​

Answer 1

Given numbers,

$\frac{-3}{7},\frac{2}{9},0,\frac{8}{7},\frac{-13}{17}$

Sum of the number is

$\frac{-3}{7}+\frac{2}{9}+0+\frac{8}{7}+\frac{-13}{17}$

First do the L.C.M for denominators.

L.C.M of $7,7,9,7$ is $63$.

$\frac{-3\times9+2\times 7+0+8\times9-13\times 9}{63}$

$\frac{-27+14+0+72-117}{63}$

$\frac{86-144}{63}$

$\frac{-54}{63}$

Therefore, the sum of $\frac{-3}{7},\frac{2}{9},0,\frac{8}{7},\frac{-13}{17}$ is $\frac{-54}{63}$.

Answer 2

Given,

$-\frac{3}{7},\frac{2}{9},0,\frac{8}{7},-\frac{13}{7}$

Add the following fractions,

$-\frac{3}{7}+\frac{2}{9}+0+\frac{8}{7}+(-\frac{13}{7} )$

Take L.C.M of denominators

L.C.M of $7,9,7,7$ is $63$

All the numerators divided by $63$

$\frac{-9\times3+2\times7+0+8\times9-13\times9}{63}$

$\frac{-27+14+72-117}{63} \\\frac{86-144}{63}\\\frac{-58}{63}$

Therefore, the addition of $-\frac{3}{7},\frac{2}{9},0,\frac{8}{7},-\frac{13}{7}$ is $-\frac{58}{63}$.