Question

the difference between of 2 rational number is -7/8 if the greater number is -2/9 what is the smallest number ​

Answer 1

$\huge \star \:  \bf \underbrace {ANSWER} \: \star$

‣ Given :

→ The difference between 2 rational number is $\: - \frac{7}{8}$

→ The greater number is $\: - \frac{2}{9}$

‣ To Find :

The smallest number

‣ Solution :

Let the smallest number be x.

→ $- \frac{2}{9} - x = - \frac{7}{8}$

→ $x = - \frac{2}{9} + \frac{7}{8}$

→ $x = \frac {-16 + 63}{72}$

→ $x = \frac {47}{72}$

$\implies \textbf {Hence, the smallest number is} \: \bf {\frac{47}{72}}.$

____________________☆

Answer 2

$\bf{\red{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}}$

$\bf\huge{\red{Question←:}}$

$\bf{\red{:→}}$ The difference between of 2 rational number is -7/8 if the greater number is -2/9 what is the smallest number .

$\bf{\red{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}}$

$\bf\huge{\red{Given←:}}$

$\bf{\red{:→}}$ - $\bf\dfrac{7}{8}$ is the difference between two rational numbers.

$\bf{\red{:→}}$ - $\bf\dfrac{2}{9}$ is the greatest number

$\bf{\red{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}}$

$\bf\huge{\red{To~find←:}}$

$\bf{\red{:→}}$ Smallest number.

$\bf{\red{▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬}}$

$\bf\huge{\red{Answer←:}}$

$\bf{\red{:→}}$ Let y be the smallest number.

$\bf{\red{:→}}$ - $\bf\dfrac{2}{9}$ - y = - $\bf\dfrac{7}{8}$

$\bf{\red{:→}}$ y = - $\bf\dfrac{2}{9}$ + $\bf\dfrac{7}{8}$

$\bf{\red{:→}}$ y = $\bf\dfrac{-16 + 63}{72}$.

$\bf{\red{:→}}$ y = $\bf\dfrac{47}{72}$

$\bf{\bold{\red{\therefore The~Answer~is~\dfrac{47}{72}}}}$

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