The denominator of a fraction is five more than twice the numerator. if both the numerator and denominator are decreased by seven, the simplified result is 1/3. find the original fraction.

THe fraction is:

 X

2X + 5

Decreases the numerator and denominator by 1, the fraction becomes 3/8.

So now the fraction looks like this:

X-1                   3

=  

2x +5-1            8

Cross multiplies:

8(x-1) = 3 ( 2x +5 -1)

8x - 8 = 3( 2x + 4)

8x - 8 = 6x + 12  <--- distributive right side

8x - 8 - 6x - 12 = 0 <--- everybody moves left,changing signs, to keep leading coefficient of x term positive

2x - 20 = 0 <-- combines like terms

2x = 20 <--- solves for x

x=10

So the fraction 10/25.

(10-1)/(25-1) = 9/24 = 3/8

26?

step-by-step explanation:

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