Question

the numerator of a fraction is 3 less than its dinomenator. if the numerator is increased by 1 and the denominator is increased by 3, the fraction becomes equal to 1/2. what is the original fraction​

Answer 1

Answer:

4/7

Step-by-step explanation:

let denominator be x... acc. to the question numerator will b x-3

acc. to the question:

(x-2)/(x+3) = 1/2

2x - 4 = x + 3

x = 7

denominator,x= 7

numerator, x-3= 4

original fraction= 4/7

Answer 2

Answer :

• 4/7 is the original fraction

Given :

• The numerator of a fraction is 3 less than its denominator
• The numerator is increased by 1 and denominator is increased by 3
• Fraction becomes equal to 1/2

To find :

• Original fraction

Solution :

• Let the denominator be x
• Let the numerator be x - 3

Then ,

• x-3/x

According To Question :

》(x-3/x) + (x + 3) = 1/2

》(x - 2) / (x + 3) = 1/2

Now cross multiplying,

》2(x - 2) = 1 (x + 3)

》2x - 4 = x + 3

》x = 7

so,

• Numerator = x - 3 = 7 - 3 = 4
• Denominator = x = 7

Hence , 4/7 is the original fraction