Question

The numerator of a fraction is 2 less than the denominator. If one is added to its

denominator, it becomes 1/2 find the fraction.​

Answer 1

${\small{\bold{\purple{\underline{Answer}}}}}$

Let the numerator be x

Denominator = x+2

When 1 is added to Denominator:-

Denominator = x+2+1=x+3

A.T.Q.

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

Cross multiplying

x+3=2x

2x-x=3

x=3

Original Numerator = x = 3

Original Denominator = x+2 = 3+2 = 5

Original fraction = 3/5

Verification:-

Fraction = 3/5

1 is added to the Denominator:-

3/(5+1) = 1/2

3/6 = 1/2

1/2 = 1/2

Hence verified

Answer 2

Answer:

The required fraction be 3/5.

Step-by-step explanation:

Consider the provide information.

As per the provided information in the given question, we've been given that, the numerator of a fraction is 2 less than the denominator and If one is added to its denominator, it becomes 1/2. With this information, we've been asked to find out the fraction.

Let us assume that the x be the numerator of the fraction.

Therefore, it's denominator be x + 2.

And If one is added to its denominator the fraction becomes 1/2. So,

→ x/x + 2 + 1 = 1/2

→ x/x + 3 = 1/2

→ 2x = x + 3

→ 2x - x = 3

→ x = 3

Therefore the fraction, x/x = 3/3+2 = 3/5

Hence, the required fraction be 3/5.

#Learn more:

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2. The denominator of a rational number is 1 greater than its numerator if the numerator is increased by 17 and the denominator is decreased by 1 the number becomes 27 find the rational number.

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