Question

The sum of rational number is -7/10 , if one number is -2 /15 then find the other number .step by step explanation

Answer 1

Answer:

$\frac{-17}{30}$

Step-by-step explanation:

Sum of the numbers = $\frac{-7}{10}$

One of the numbers = $\frac{-2}{15}$

Therefore the other number = $\frac{-7}{10}$ - $\frac{-2}{15}$

= $\frac{-21 - (-4)}{30}$

= $\frac{-21 + 4}{30}$

= $\frac{-17}{30}$

Answer 2

Answer:

$\frac{ - 17} { \: \: \: 30}$

Step-by-step explanation:

Let the other rational number be 'x'.

then by condition given,

$x \: + \frac{ - 2}{15} = \frac{ - 7}{10}$

$x \: = \frac{ - 7}{10} + \frac{2}{15}$

LCM of 10 and 15 = 30

$x \: = \frac{ - 7 \times 3 \: + 2 \times 2}{30}$

$x \: = \frac{4 \: - 21}{30}$

$x \: = \frac{ - 17}{30}$

Hence, the other rational number is -17 / 30