Question

The numerator of a fraction is smaller than its denominator by 1. If the numerator is
increased by 4 and the denominator is doubled the number becomes 1. Find the fraction.​

Answer 1

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∣

To Find:-

Find the fraction.

Solution:-

Here ,

• Let numerator be x - 1
• Denominator be x
• According to the Question:-

$\tt\implies \: \dfrac { x - 1 + 4 } { 2x }$

$\tt\implies \: x + 3 = 2x$

$\tt\implies \: 2x - x = 3$

$\tt\implies \: x = 3$

Hence ,

• Denominator is 3
• Numerator is x - 1 = 2

Answer 2

question

The numerator of a fraction is smaller than its denominator by 1. If the numerator is

The numerator of a fraction is smaller than its denominator by 1. If the numerator isincreased by 4 and the denominator is doubled the nu

mber becomes 1. Find the fraction.

ANSWER

Let numerator be x - 1

Let numerator be x - 1Denominator be x

Let numerator be x - 1Denominator be xAccording to the Question:-

Let numerator be x - 1Denominator be xAccording to the Question:-\tt\implies \: \dfrac { x - 1 + 4 } { 2x } ⟹

Let numerator be x - 1Denominator be xAccording to the Question:-\tt\implies \: \dfrac { x - 1 + 4 } { 2x } ⟹ 2x

Let numerator be x - 1Denominator be xAccording to the Question:-\tt\implies \: \dfrac { x - 1 + 4 } { 2x } ⟹ 2xx−1+4

Let numerator be x - 1Denominator be xAccording to the Question:-\tt\implies \: \dfrac { x - 1 + 4 } { 2x } ⟹ 2xx−1+4

Let numerator be x - 1Denominator be xAccording to the Question:-\tt\implies \: \dfrac { x - 1 + 4 } { 2x } ⟹ 2xx−1+4

Let numerator be x - 1Denominator be xAccording to the Question:-\tt\implies \: \dfrac { x - 1 + 4 } { 2x } ⟹ 2xx−1+4 \tt\implies \: x + 3 = 2x⟹x+3=2x

Let numerator be x - 1Denominator be xAccording to the Question:-\tt\implies \: \dfrac { x - 1 + 4 } { 2x } ⟹ 2xx−1+4 \tt\implies \: x + 3 = 2x⟹x+3=2x\tt\implies \: 2x - x = 3⟹2x−x=3

Let numerator be x - 1Denominator be xAccording to the Question:-\tt\implies \: \dfrac { x - 1 + 4 } { 2x } ⟹ 2xx−1+4 \tt\implies \: x + 3 = 2x⟹x+3=2x\tt\implies \: 2x - x = 3⟹2x−x=3\tt\implies \: x = 3⟹x=3