Question

the numerator of a fraction is 6 less than the denominator. if 3 is added to the numerator the fraction is equal to2÷3. find the original fraction​

Answer 1

Answer:

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Answer 2

Answer:

the denominator = x

Numerator = x - 6

Original fraction = ( x - 6 ) / x ---( 1 )

According to the problem given,

( x - 6 + 3 ) / x = 2/3

( x - 3 ) / x = 2 / 3

3( x - 3 ) = 2x

3x - 9 = 2x

3x - 2x = 9

x = 9

Put x = 9 in equation ( 1 ),

Original fraction = ( x - 6 ) / x

= ( 9 - 6 ) / 9

= 3 / 9