Question

subtract the sum of - 11/5 & -2/3 from the sum of 3/5 & 7/3. explain please.​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

How to solve :

Step1: Firstly find the sum of -11/5 & -2/3.

Step2:then ,find the sum of 3/5 & 7/3.

Step3:Write sum of 3/5 & 7/3 first then write the sum of -11/5 & -2/3 and hence substract it.

Sum of -11/5 & -2/3

$\sf \longmapsto - \dfrac{11}{5} (+ ) - \dfrac{2}{3}$

$\sf \longmapsto - \dfrac{11}{5} - \dfrac{2}{3}$

LCM of 5 & 3 is 15

$\sf \longmapsto \dfrac{ - 33 - 10}{15}$

$\sf \longmapsto - \dfrac{43}{15}$

Sum of 3/5 & 7/3

$\sf \longmapsto \dfrac{3}{5} + \dfrac{7}{3}$

LCM of 5 & 3 is 15

$\sf \longmapsto \dfrac{9 + 35}{15}$

$\sf \longmapsto \dfrac{44}{15}$

Now substract -34/15 from 44/15

$\sf \longmapsto \dfrac{44}{15} (- ) - \dfrac{43}{15}$

$\sf \longmapsto \dfrac{44}{15} + \dfrac{43}{15}$

$\sf = \bold{ \dfrac{87}{15} }$