Question

The sum of two rational numbers is -7/13 .if one of the numbers is -5/39 ,find the other number

Answer 1

sum of one rational no =-7/13
one no=-5/39
other no=-7/13-5/39
=-21-5/39
=-26/39

Answer 2

Given - Sum and one number

Find - Other number

Solution - Let the number be x. Representing given information in mathematical expression -

$\frac{ - 5}{39} + x = \frac{ - 7}{13}$

Shifting -5/39 to other side of equation

$x = \frac{ - 7}{13} + \frac{5}{39}$

Taking LCM and performing subtraction

LCM = 39

$x = \frac{( - 7 \times 3) + 5}{39}$

Solving the fraction

$x = \frac{ - 21 + 5}{39}$

$x = \frac{ - 16}{39}$

Hence, the other number is -16/39.