In a certain fraction, the denominator is 2 less than the numerator. If 1 is added to both the numerator and denominator, the resulting fraction is equal to 4/3. Find the original fraction.

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Mathematics

30 March, 04:07

In a certain fraction, the denominator is 2 less than the numerator. If 1 is added to both the numerator and denominator, the resulting fraction is equal to 4/3. Find the original fraction.

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Answers (1)

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Moriah Whitney · Answer 1

7/5

Step-by-step explanation:

Adding 1 to numerator and denominator will not change the difference between them. In order to make a fraction equal to 4/3 with a difference between numerator and denominator of 2, we can multiply 4/3 by 2/2:

4/3 = 8/6 = (7+1) / (5+1)

The original fraction must be 7/5.