Question

the sum of two rational numbers is -3/7.If one of the number is -5/8.find the other number . verify it ​

Answer 1

Answer:

59/56

Step-by-step:

sum of two digits = -3/7

-5/8 + x = -3/7

LCM = 56

x = $\frac{-3}{7}$ * $\frac{8}{8}$ + $\frac{5}{8}$ * $\frac{7}{7}$

x = $\frac{24}{56}$ + $\frac{35}{56}$

x = $\frac{59}{56}$

Verification:

-5/8 + 59/56 = -3/7

LCM = 56

$\frac{-5}{8}$ * $\frac{7}{7}$ + $\frac{59}{56}$ = -3/7

$\frac{-35}{56}$ + $\frac{59}{56}$ = -3/7

-24/56 = -3/7 ( simplify -24/56)

-3/7 = -3/7

∴LHS =  RHS

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