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Add 10/48 and 49/63

10/48 + 49/63 is 71/72.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 48 and 63 is 1008

    Next, find the equivalent fraction of both fractional numbers with denominator 1008
  2. For the 1st fraction, since 48 × 21 = 1008,
    10/48 = 10 × 21/48 × 21 = 210/1008
  3. Likewise, for the 2nd fraction, since 63 × 16 = 1008,
    49/63 = 49 × 16/63 × 16 = 784/1008
  4. Add the two like fractions:
    210/1008 + 784/1008 = 210 + 784/1008 = 994/1008
  5. 994/1008 simplified gives 71/72
  6. So, 10/48 + 49/63 = 71/72

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