Question

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction
becomes 3/4. Find the fraction.

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Answer 1

Hey!

Please refer to the above pic.

You can understand from it.

Thanks you.

Answer 2

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Given:

The denominator of a fraction exceeds the numerator by 5. If 3 be added to both, the fraction becomes 3/4.

To find:

The fraction obtained.

Explanation:

The denominator of a fraction exceeds the numerator by 5.

Let the numerator be R

Let the denominator be R+5

∴ The fraction is= $\frac{R}{R+5}$

Therefore,

If 3 be added to both the fraction becomes 3/4 ,we get;

→ $\frac{R+3}{(R+5)+3} =\frac{3}{4}$

→ $\frac{R+3}{R+8} =\frac{3}{4}$

[Cross Multiplication]

→ 4(R+3) = 3(R+8)

→ 4R + 12= 3R + 24

→ 4R -3R = 24 -12

→ R = 12.

Now,

The fraction is $\frac{12}{12+5}$

The fraction is $\frac{12}{17}$