Question

which rational no. should be added to -7/8 to get 5/9​

Answer 1

➤ Answer :-

$\tt \longrightarrow \dfrac{( - 7)}{8} + \sf(x) = \tt \dfrac{5}{9}$

To find the value of 'x' in the following sum, we should subtract the answer and the first value.

$\tt \longrightarrow \dfrac{5}{9} - \dfrac{( - 7)}{8}$

Convert them into like fractions by taking the LCM of the denominators i.e, 9 and 8.

LCM of 9 and 8 is 72.

$\tt \longrightarrow \dfrac{5 \times 8}{9 \times 8} - \dfrac{( - 7) \times 9}{8 \times 9}$

$\tt \longrightarrow \dfrac{40}{72} - \dfrac{( - 63)}{72} = \boxed{ \tt \dfrac{40 - ( - 63)}{72} }$

$\tt \longrightarrow \dfrac{40 + 63}{72} = \dfrac{103}{72}$

$\tt \longrightarrow \dfrac{103}{72} = 1 \dfrac{31}{72}$

$\Huge\therefore$The other number is $\tt 1 \dfrac{31}{72}$

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More to know…………

• While finding the first value in subtraction, we should add the answer and the second number.
• While finding the second value in subtraction, we should subtract the first value and the answer.
• While finding the first value in addition, we should subtract the answer and the second value.
• While finding the second value in addition, we should subtract the answer and the first value.