Question

8. The denominator of a fraction is 3 more than the numerator. If 5 is added to both parts, the resulting fraction is equivalent to 4/6 find the fraction.​

Answer 1

Answer:

Fraction : 7 / 10

Step-by-step explanation:

Numerator = x

Denominator = x + 3

Given that

If 5 is added to both parts ;

Fraction = 4 / 5

x / x + 3

x + 5 / x + 3 + 5 = 4 / 5

x + 5 / x + 8 = 4 / 5

By cross multiplication ;

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

5x + 25 = 4x + 32

5x - 4x = 32 - 25

x = 7

Hence ;

x = 7

Numerator ( x ) = 7

Denominator ( x + 3 ) = 10

Fraction = 7 / 10

Answer 2

ANSWER:-

According to the question,

Let the numerator be x then the denominator will be (x+3)

It is given that if 5 is added to both parts then the result will be equal to 4/6

When 5 is added --

x = x + 5 = (x+5)

(x+3) = x + 3 + 5 = (x+8)

Equation --

$\frac{(x + 5)}{(x + 8)} = \frac{4}{6}$

By cross multiplying :-

6x+30=4x+32

x=1

(x+3) = 1+3=4

Required fraction = 1/4