Question

the denominator of a fraction is one less than twice the numerator. If the numerator decreased by 3 becomes 1/7 find the fraction.

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Answer 1

Question:-

• The denominator of a fraction is one less than twice the numerator. If the numerator decreased by 3 becomes 1/7 find the fraction.

To Find:-

• Find the fraction.

Solution:-

Denominator of a fraction is one less than twice the numerator. If the numerator decreased by 3 becomes 1/7.

$\tt\implies \: \dfrac{x - 3}{2x - 1} = \dfrac { 1 } { 7 }$

$\tt\implies \: 7( x - 3 ) = 1( 2x - 1 )$

$\tt\implies \: 7x - 21 = 2x - 1$

$\tt\implies \: 7x - 2x = 21 - 1$

$\tt\implies \: 5x = 20$

$\tt\implies \: x = \dfrac { 20 } { 5 }$

$\tt\implies \: x = 4$

Hence,

• Numerator is 4
• Denominator is 2( 4 ) - 1 = 9