The denominator of a fraction is 9 more than the numerator. if both the numerator and the denominator are decreased by 1 the resulting fraction is equivalent to 4/13. find the fraction.

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Mathematics

31 May, 13:23

The denominator of a fraction is 9 more than the numerator. if both the numerator and the denominator are decreased by 1 the resulting fraction is equivalent to 4/13. find the fraction.

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Stevens · Answer 1

X/x+9 (original fraction)

x+1 / x+10 = 4/13

x+1=4 so x=3 and x+10=13 so again x=3

now that you have the value of x, substitute it into the original fraction to get:

3/12