Question

The product of two rational numbers is 15/22 .If one of the number is -5/6 , find the other .​

Answer 1

Answer:

Let the other be x.

x*-5/6=15/22

x=15/22/-5/6

x=-9/11

Answer 2

Answer:

$\large\underline{\underline\color{red}{➢{\pmb{\sf{ \: Given:-}}}}}$

➬ The product of two numbers is 15/22 .

➬ One number is 5 .

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$\large\underline{\underline\color{red}{➢{\pmb{\sf{ \: To \: Find :-}}}}}$

➬ 2nd no. = ?

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$\large\underline{\underline\color{red}{➢{\pmb{\sf{ \: Solution :-}}}}}$

❒ According to Question :

✬ Let 2nd no. be x .Hence ,

$\large{\green{:\longrightarrow{\sf{5 \times x = \dfrac{15}{22}}}}}$

❒ 2nd number :

$\large{:\longmapsto{\sf{ 5 \times x = \dfrac{15}{22}}}}$

$\large{:\longmapsto{\sf{ \frac{5}{1} \times x = \dfrac{15}{22}}}}$

${\large{:\longmapsto{\sf{ x = \dfrac{15}{22} \div \frac{5}{1} }}}}$

${\large{:\longmapsto{\sf{ x = \dfrac{15}{22} \times \frac{1}{5} }}}}$

${\large{:\longmapsto{\sf{ x = \dfrac{15}{110} }}}}$

${\large{:\longmapsto{\sf{ x = \cancel\dfrac{15}{110} }}}}$

$\large\orange{:\longmapsto{\sf{ x = {\green{\underline{\sf{\dfrac{3}{22}}}}}}}}$

❒ Therefore :

❝ 2nd number is 3/22 . ❞

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❒ Verification :

${:\implies{\sf{5 \times x = \dfrac{15}{22}}}}$

${:\implies{\sf{ \frac{5}{1} \times \frac{3}{22} = \dfrac{15}{22}}}}$

${:\implies{\sf{ \frac{15}{22} = \dfrac{15}{22}}}}$

LHS = RHS

Hence , Verified .

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