Question

sum of two rational number is -5/8. one of them is -7/12. find the other​

Answer 1

Answer:

-7/12 + x = -5/8

x= -5/8 +7/12

x= ( -15 +14 )/24

x= -1/24

I hope it helps :)

Answer 2

➤ Given :-

Sum of two rational numbers :- ${\tt \dfrac{( - 5)}{8}}$

One of the rational number :- ${\tt \dfrac{( - 7)}{12}}$

➤ To Find :-

The other number to complete the statement

How to do :-

Here, we are given that two rational number's answer is ${\tt \dfrac{( - 5)}{8}}$, they had also given us one of the rational number which helps in finding the answer. That number is ${\tt \dfrac{( - 7)}{12}}$. To find the other number, we should subtract the answer and the first value. The obtained answer will be the second value of the statement.

➤ Solution :-

${\tt \longrightarrow \dfrac{( - 7)}{12} + (x) = \dfrac{( - 5)}{8}}$

${\tt \longrightarrow (x) = \dfrac{( - 5)}{8} - \dfrac{( - 7)}{12}}$

Convert them into like fractions by taking the LCM of the denominators i.e, 8 and 12.

LCM of 8 and 12 is 24.

${\tt \longrightarrow \dfrac{( - 5) \times 3}{8 \times 3} - \dfrac{( - 7) \times 2}{12 \times 2}}$

${\tt \longrightarrow \dfrac{( - 15)}{24} - \dfrac{( - 14)}{24} = \dfrac{( - 15) - ( - 14)}{24}}$

${\tt \longrightarrow \dfrac{( - 15) + 14}{24} = \boxed{\tt \dfrac{( - 1)}{24}} }$

$\Huge\therefore$ The other number is ${\tt\dfrac{(-1)}{24}}$.

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More to know :-

• While adding two fractions, if first value is not given we should subtract the answer and the second value.
• While adding two fractions, if second value is not given we should subtract the answer and the first value.