The denominator of a fraction is 3 more than its numerator. when 1/2 is added to this fraction, the resulting fraction's denominator is twice the denominator of the original fractions and its numerator is 1 more than its denominator. what is the numerator of the original fraction?

Numerator of the original fraction is 1

Step-by-step explanation:

Let's assume numerator of fraction as 'y'

denominator of fraction as 'x'

so, fraction is

The denominator of a fraction is 3 more than its numerator

so,

When 1/2 is added to this fraction, the resulting fraction's denominator is twice the denominator of the original fractions and its numerator is 1 more than its denominator

so,

we can use first equation and plug x

now, we can solve for y

we get

now, we can find x

now, we can find fraction

So,

Numerator is 1

you should at least use a calculater

step-by-step explanation:

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2