Question

the denominator of a fraction is 3 more than the numerator if 5 is added to both paath the resulting fraction is equivalent to 4/5 find the fraction​

Answer 1

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Answer 2

Question :

the denominator of a fraction is 3 more than the numerator if 5 is added to both paath the resulting fraction is equivalent to 4/5 find the fraction.

$\Large\underline{\underline{♡\mathcal{\red{A}\green{n}\pink{s}\orange{w}\blue{e}\red{r}}}}♡$

Let the Numerator be x.

Then the Denominator be x + 3

• if 5 is added to both paath the resulting fraction is equivalent to 4/5 .

thus ,

$\frac{x + 5}{x + 3 + 5} = \frac{4}{5}$

$\frac{x + 5}{x + 8} = \frac{4}{5}$

$5(x + 5) = 4(x + 8)$

$5x + 25 = 4x + 32$

$5x - 4x = 32 - 25$

${\red{\boxed{\large{\bold{ x \: = 7 }}}}}$

Therefore fraction is ;

${\purple{\boxed{\large{\bold{Fraction =\frac{7}{10}}}}}}$