Question

8. The numerator of a fraction is 5 less than the denominator. If 2 is added to both numerator and denominator,it becomes 4/5.find the fraction
4
it becomes Find the fraction.
5​

Answer 1

Answer:

Fraction=18/23

Step-by-step explanation:

fraction= (x-5)/x

(x-5+2)/(x+2)=4/5

5(x-3)=4(x+2) 5x-15=4x+8

5x-4x=8+15

x=23

numerator=x-5=23-5=18 denominator 3Dx=23 fraction=18/23

Answer 2

$\huge{\bold{SOLUTION :-}}}}$

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$\large{\bold{ANSWER :-}}}}$

• The numerator is 18 and denominator is 23

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$\large{\bold{GIVEN :-}}}}$

• The numerator of the fraction is 5 less than denominator
• When two added to the both numerator and denominator traction becomes 4/5

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$\large{\bold{ TO FIND :-}}}}$

• Fraction when numerator = x
• Denominator = x
• Result = 4/5

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$\large{\bold{NOW :-}}}}$

The fraction = numerator / denominator = 4/5

$\implies$ $\rm{x - 5 / x = 4/5}$

$\implies$ $\rm{x - 5 + 2 / x + 2 = 4/5}$ //

$\implies$ $\rm{x - 3 / x + 2 = 4/5}$

$\implies$ $\rm{5 ( x - 3 ) = 4 ( x + 2 )}$

$\implies$ $\rm{ 5x -15 = 4x + 8}$

$\implies$ $\rm{ x = 23}$

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$\large{\bold{CHECK :-}$

$\implies$ $\frac{numerator/denominator = 4/5 </p><p>[tex]\implies$ $\frac{x - 5 / x = 4/5}$

$\implies$ $\frac{x - 3 / x + 2 = 4/5}$

$\implies$ $\frac{ 5x - 15 = 4x + 8}$

$\implies$ $\frac{ 100 = 100}$