Question

In a fractions denominator is 3 less than the twice the numerator. if 1/2 is subtracted from the numerator and 3/5 is added to the denominator then the new fraction becomes 45/76. Find the origined original fraction.


step by step answer please​

Answer 1

Answer:

The fraction = 5÷7

Step-by-step explanation:

Let the numerator of the fraction be x

By data denominator = 2×x - 3

The fraction = (x÷(2×x-3))

1÷2 is subtracted from the numerator fraction=((x-0.5)÷(2×x-3))

3÷5 is added to the denominator = ((x-0.5)÷(2×x-3+(3÷5))

new fraaction= 45÷76

((x-0.5)÷(2x-(12÷5)))= 45÷76

76(x-0.5)= 45(2x-(12÷5))

76x- 38= 90x-108

14x=70

x=5

Therefore the numerator =5

Denominator= 2x-3= 7

The fraction = 5÷7

Answer 2

Answer:

Step-by-step explanation:

In a fraction, denominator is 3 less than the twice the numerator. If

1

2

is subtracted from numerator and

3

5

is

added to the denominator, then the new fraction becomes

45

.

76 Find the original fraction.