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What Fraction of 4/7 Must be Added to Itself to Make the Sum 15/14?

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Explanation

  • The fraction of 4/7 must be added to itself to get the given sum.

Let say required fraction is y/z and according to the given condition; 4y/7z + 4/7 = 15/14

After solving this equation; y/z = 7/8 which is our required answer.

To Find

Fraction of 4/7 = ?

Solution

Let suppose the fraction = y/z

Now;

4y/7z + 4/7 = 15/14

4/7 (y/z + 1) = 15/14

y/z + 1 = (15 x 7)/(14 x 4)

y/z + 1 = 15/8

y/z = 15/8 – 1

y/z = (15 – 8)/8

y/z = 7/8 answer

Conclusion

7/8 fraction of 4/7 must be added to itself to make the sum 15/14.

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