1020 and 115 are fractions. let x be the another fraction.when the fraction x is multiplied by 1020 and then added with 115 the resultant fraction is 86. Find the value of the fraction x ?

Best solutions to - "1020 and 115 are fractions. let x be..."

vazelinahS

Answered question

2021-10-04

\frac{10}{20}

and

\frac{1}{15}

are fractions. let x be the another fraction.when the fraction x is multiplied by

\frac{10}{20}

and then added with

\frac{1}{15}

the resultant fraction is

\frac{8}{6}

. Find the value of the fraction x ?

Answer & Explanation

Obiajulu

Skilled2021-10-05Added 98 answers

Step 1
we need to write all the steps according to the question.
we need to write all the operations as question says.
Step 2
x is a fraction.
x=?
According to the question, when x is multiplied by

\frac{10}{20}

and then added with

\frac{1}{15}

the result is

\frac{8}{6}

∵ x \times \frac{10}{20} + \frac{1}{15} = \frac{8}{6}

\Rightarrow \frac{x}{2} + \frac{1}{15} = \frac{8}{6}

\Rightarrow \frac{x}{2} = \frac{8}{6} - \frac{1}{15}

\Rightarrow \frac{x}{2} = \frac{8 \times 5 - 1 \times 2}{30}

\Rightarrow \frac{x}{2} = \frac{40 - 2}{30}

\Rightarrow x = 2 \times \frac{38}{30}

\Rightarrow x = \frac{38}{15}

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