# Find Original Fraction

Discussion in 'Algebra' started by nycmathguy, Dec 2, 2021.

1. ### nycmathguy

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Tell me if the set up is right.

Numerator of original fraction = x - 8.
Denominator of original fraction = x.

Original Fraction = (x - 8)/x.

Numerator of new fraction = (x - 8) + 1 = (x - 7).
Denominator of new fraction = (x - 3).

Here is my set up:

(x - 7)/(x - 3) = 2/3

Yes?

nycmathguy, Dec 2, 2021
2. ### MathLover1

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correct

MathLover1, Dec 2, 2021
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3. ### nycmathguy

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At least I can do the easy stuff. Some people can't even do that right.

nycmathguy, Dec 2, 2021
4. ### MathLover1

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(x - 7)/(x - 3) = 2/3

x=15
=>Original Fraction = (x - 8)/x=(15-8)/15=7/15

check:

(7+1)/(15-3)= 2/3

MathLover1, Dec 2, 2021
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5. ### nycmathguy

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I got it right.

nycmathguy, Dec 2, 2021
6. ### Country Boy

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IF you first state that you are letting the denominator be "x" then you can say that the numerator is x- 8.

Country Boy, Dec 29, 2021
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7. ### nycmathguy

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Ok. Noted.

nycmathguy, Dec 30, 2021