Question

The numerator of a fraction is less than the denominator. If three is added to the numerator, the fraction becomes equal to 2/3 find the original fraction. ​

Answer 1

Correct Question

• The numerator of a fraction is 6 less than the denominator. If three is added to the numerator, the fraction becomes equal to 2/3 find the original fraction.

Solution:-

Let the numerator be = x-6

and denominator be = x

therefore, fraction = x-6/x --------------(1)

According to the Given Statement

Three is added to the numerator , the fraction becomes equal to 2/3 .

→ x-6+3/x = 2/3

→ x-3/x = 2/3

→ 3x -9 = 2x

→ 3x -2x = 9

→ x = 9

Putting x = 9 in Equation (1) we get

→ 9-6/9 = 3/9 = 1/3

Therefore,the fraction will be 1/3 .

Answer 2

Answer:

Question

The numerator of a fraction is less than the denominator. If three is added to the numerator, the fraction becomes equal to 2/3 find the original fraction.

Step-by-step explanation:

Given

• The numerator of a fraction is less than the denominator
• If 3 is added to the numerator, the fraction becomes 2/3

To find out:-

• The original fraction

Let

1. The numerator be x-6
2. Let the denominator be X

So, the fraction of the number here becomes

X-6/X -------------------------- ( EQUATION 1)

Now in the question

3 is added to the numerator, and then the fraction becomes 2/3

So, let's find out the value of X

=》X-6+3/x = 2/3

=》X-3/X =2/3

=》3X-9= 2X

Now, X Value come in R.H.S ( Right hand side) and the value of - 9 becomes +9 as if it is going on L.H.S ( Left hand side)

=》3x-2x = 9

=》X = 9

Now by putting X that is 9 in equation 1

We will get,

=》9 - 6/9

=》3 / 9

Now making their value to lowest term we will get

$\frac{3}{9} = \frac{1}{3}$

$so \: hence \: the \: required \: answer \: is \: \frac{1}{3}$