Question

please answer this question step by step and fast ​

Answer 1

Answer:

Let x is added

So

$x + \frac{ - 5}{8} = \frac{5}{9} \\ x = \frac{5}{9} - \binom{ - 5}{8} \\ x = \frac{5}{9} + \frac{5}{8} \\ x = \frac{40 + 45}{72} \\ x = \frac{85}{72}$

Answer 2

➲ Let the required number be x.

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According to the question

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

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$\tt\longrightarrow{\dfrac{-5}{8} + x = \dfrac{5}{9}}$

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$\tt\longrightarrow{\dfrac{-5 + 8x}{8} = \dfrac{5}{9}}$

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$\tt\longrightarrow{8x - 5 = \dfrac{5 \times 8}{9}}$

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$\tt\longrightarrow{8x - 5 = \dfrac{40}{9}}$

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$\tt\longrightarrow{8x = \dfrac{40}{9} + 5}$

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$\tt\longrightarrow{8x = \dfrac{40 + 45}{9}}$

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$\tt\longrightarrow{8x = \dfrac{85}{9}}$

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$\tt\longrightarrow{x = \dfrac{85}{9 \times 8}}$

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$\bf\longrightarrow{x = \dfrac{85}{72}}$

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We can solve this question with a simple method also...

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$\tt\longrightarrow{\blue{\dfrac{-5}{8} + x = \dfrac{5}{9}}}$

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$\tt\longrightarrow{x = \dfrac{5}{9} + \dfrac{5}{8}}$

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$\tt\longrightarrow{x = \dfrac{40 + 45}{72}}$

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$\bf\longrightarrow{x = \dfrac{85}{72}}$

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Hence,

• The required number is $\sf{\dfrac{85}{72}}$.