Question

the numerator of the fraction is 6 less than the denominator if 1 is added to both the numerator and denominator the fraction become 1/2 find the fraction

Answer 1

question is incomplete probably wrong

Answer 2

☆ Question ☆

The numerator of the fraction is 6 less than the denominator. If 1 is added to both the numerator and denominator the fraction becomes 1/2. Find the fraction.

☆ Solution ☆

☆ Given ☆

• The numerator of the fraction is 6 less than the denominator. If 1 is added to both the numerator and denominator the fraction becomes 1/2.

☆ To find ☆

• The number.

☆ Step-by-Step-Explaination ☆

Let the denomination of a fraction be x.

Then,

Numerator = ( x - 6 )

New number formed = ( x - 6 + 1 ) = ( x - 5 )

New denominator formed = ( x + 1 )

According to the questions,

$( \frac{x - 5}{x + 1} ) = \frac{1}{2}$

2 ( x - 5 ) = 1 ( x + 1 )

2x - 10 = x + 1

2x - x = 1 + 10

x = 11

Hence, denominator = 11

numerator = 11 - 6 = 5

Fraction = $\frac{5}{11}$