Question

The numerator of a fraction is 2 less than the denominator.If 3 is added to both the numerator and the denominator,the fraction becomes ¾.Find the fraction. (explain)​

Answer 1

Step-by-step explanation:

Let denominator be x

Therefore, Numerator= x-2

Now 3 is added to both the numerator and denominator

Therefore, the frection will be x+3/x-2+3 = x+3/x+1

Now it is given that fraction after adding 3 is 3/4

Therefore,

x+3/x+1 = 3/4

4x+12 = 3x+3

x = -9

Therefore the fraction will be:

-9/-11 = 9/11

Answer 2

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Given:

• Numerator of a fraction is 2 less than the denominator.
• Adding 3 to both numerator and denominator gives us 3/4.

To Find:

• The fraction

Assumption:

• Let the numerator be x, so the denominator will be (x + 2)

Solution:

$\text{We are given that,} \\:\implies \dfrac{x+3}{x+2+3} = \dfrac{3}{4} \\\\:\implies \dfrac{x+3}{x+5} = \dfrac{3}{4} \\\\:\implies 4x + 12 = 3x + 15 \\\\:\implies 4x - 3x = 15 - 12 \\\\:\implies x = 3. \\\\:\implies x = 3\:and\:x+2 = 5. \\\\\bf{:\implies Fraction = \dfrac{3}{5}}$

Hope it helps!!