Question

The denominator of a fraction is five more than twice the numerator. If both numerator and denominator are decreased by two, the simplified result is
1
3

. Find the original fraction. (Do NOT simplify.)

Answer 1

I will say x/2x+5

Answer 2

fraction

Answer 3

hey welcome to os

Answer 4

So you have the original \(\Large \frac{ x }{ 2x+5}\)

both numerator and denominator are decreased by two \(\Large \frac{ x -2 }{ 2x+5-2}\)

result is 1/3: \(\Large \frac{ x -2 }{ 2x+5-2} =\frac{ 1 }{ 3} \)

Solve for x; go back and plug into original fraction.

Answer 5

I don't know how to do that

Answer 6

First simplify it, \(\Large \frac{ x -2 }{ 2x+3} =\frac{ 1 }{ 3}\)

Then you can cross multiply to start