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7 July, 15:06

The sum of the numerator and the denominator of the certain fraction is equal to 4,140. When the fraction was reduced, the result was 7 13. What was the original fraction?

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  1. 7 July, 15:13
    0
    1449/2691

    Step-by-step explanation:

    We must start from the fraction that is 7/13. Now, we know that it was simplified, with trial and error we can reach the result.

    First, let's multiply both by 200:

    7 * 200 = 1400

    13 * 200 = 2600

    1400 + 2600 = 4000

    It means that we are missing 140, to reach the objective, that is, we are close, let's try 205 now:

    7 * 205 = 1435

    13 * 205 = 2665

    1435 + 2665 = 4100

    We get even closer, only 40 missing, let's try 207 below:

    7 * 205 = 1449

    13 * 205 = 2691

    1449 + 2691 = 4140

    We managed to get to the corresponding numbers, therefore the original fraction was 1449/2691
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