Question

The numerator of a fraction is 5 more than the denominator. If 2 is added to the number , the fraction is equal to 4/3 , find the original fraction​

Answer 1

Answer:

The answer to this question is $\frac{20}{15}$

Step-by-step explanation:

According to the given things in the question, we have the fraction numerator to be 5 more than the denominator.

Let the denominator be z.

therefore the numerator becomes z + 5

Therefore the fraction is = $\frac{z + 5}{z}$

Then it is mentioned that 2 is being added to the fraction above and we get   4 / 3.

Therefore,

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

after solving it we have,

⇒3 × (z + 5) = 4 × z

⇒ 3 z + 15 = 4z

⇒ 4z - 3z = 15

⇒z = 15

Therefore the original fraction is found to be,

$\frac{z+5}{z}=\frac{20}{15}$

Hence the required fraction is $\frac{20}{15}$