Math, asked by mahi124y7i9, 11 months ago

Product of two rational no is
15/22. if one of the no -5/6
find the other one​

Answers

Answered by BrainlyRacer
12

Solution

Given,

Product of two rational number is = \dfrac{15}{22}

One of the number is = -\dfrac{5}{6}

and other number = ?

                                                                     

Let the other number be 'x'

According to the question

\implies x\times-\dfrac{5}{6}=\dfrac{15}{22}\\\\\\\implies x=\dfrac{15}{22}\div\dfrac{-5}{6}\\\\\\\implies x=\dfrac{15}{22}\times\dfrac{-6}{5}\:\because reciprocal\\\\\\\implies x=\boxed{\bold{\dfrac{-9}{11}}}

Therefore other number is \dfrac{-9}{11}

Let us verify that,

When we put the value of 'x' which is  \dfrac{-9}{11}

then we get

\implies-\dfrac{5}{6} \times-\dfrac{9}{11}=\dfrac{15}{22}\\\\\\\implies-\dfrac{5}{2}\times-\dfrac{3}{11}=\dfrac{15}{22}\\\\\\\implies\dfrac{15}{22} =\dfrac{15}{22}

We observed that LHS = RHS,

Hence it is verified.

Answered by Anonymous
10

\mathfrak{\large{\underline{\underline{Answer:-}}}}

Required number is - 9/11

\mathfrak{\large{\underline{\underline{Explanation:-}}}}

Given :- Product of two rational number = \sf{ \dfrac{15}{22} }

One of the number = \sf{- \dfrac{5}{6} }

To find :- Another number

Solution :-

Product of two rational number = \sf{ \dfrac{15}{22} }

Let one of the number be = x

Another number = \sf{- \dfrac{5}{6} }

According to the question :-

Equation formed :-

\tt{ - \dfrac{5}{6} \times x =\dfrac{15}{22} }

\tt{ - \dfrac{5}{6} \times x = \dfrac{15}{22} }

\tt{ - \dfrac{5x}{6} = \dfrac{15}{22} }

\tt{ - 5x = \dfrac{15 \times 6}{22} }

\tt{ - 5x = \dfrac{90}{22} }

\tt{ - 5x = \dfrac{90}{22} }

\tt{ x = \dfrac{90}{22(-5)} }

\tt{ x = \dfrac{90}{-110} }

\tt{ x = - \dfrac{90 \div 10}{110 \div 10} }

\tt{ x = - \dfrac{9}{11} }

\mathfrak{\large{\underline{\underline{Verification:-}}}}

\tt{ - \dfrac{5}{6} \times  - \dfrac{9}{11} =\dfrac{15}{22} }

\tt{ - \dfrac{5}{2} \times  - \dfrac{3}{11} =\dfrac{15}{22} }

\tt{\dfrac{15}{22} =\dfrac{15}{22} }

Therefore required number is - 9/11

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