Question

The numerator and denominator of a fraction are
in the ratio of 2 : 3. If 6 is subtracted from the
numerator, the result is a fraction that has a value
1/3
of the original fraction
​

Answer 1

Answer:

12/18

Step-by-step explanation:

Let numerator and denominator be 2x and 3x.

2x-6/3x=1/3

=>2x-6/x=1

=>2x-6=x

=>x=6

Fraction :12/18

Answer 2

Answer:

Let the numerator and denominator of the fraction be 2x and 3x

Therefore, the original fraction is 2x /3x

given ,

$\frac{2 x - 6}{3x} = \frac{1}{3} \times \frac{2x}{3x} \\ \frac{2 x - 6}{3x} = \frac{2}{9} \\ = 9(2x - 6) = 2(3x) \\ 18x - 54 = 6x \\ 18x - 6x = 54 \\ 12x = 54 \\ x = \frac{54}{12} = \frac{9}{2}$

so 2x = 2× 9/2 = 18/2 or 9

3x 3x = 3× 9/2 = 27/2

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hope this helps uhh :)