Question

In: Math

The denominator of a fraction is 4 more than the numerator. If both the numerator and...

The denominator of a fraction is 4 more than the numerator. If both the numerator and the denominator of the fraction are increased by 3, the new fraction is 5/6 . Find the original fraction.

Expert Solution

Answer: The original fraction is

Explanation: Let the original fraction is

-------------------------------- (1)

where, x is the numerator and y is denominator.

Since, the denominator is 4 more than the numerator. So,

------------------------------ (2)

Now, if we add 3 on both numerator and denominator, the new fraction is 5/6. i.e.

-------------------------- (3)

Now, substituting y=x+4 from eqn 2 into eqn 3.

Subtracting both sides by 5x

Subtracting both sides by 18

Now, substitute x=17 into eqn 2

Hence, the fraction will be (using eqn 1 i.e. x/y).

milcah answered 1 year ago

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