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Add 42/48 and 48/63

42/48 + 48/63 is 275/168.

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,
    42/48 = 42 × 21/48 × 21 = 882/1008
  3. Likewise, for the 2nd fraction, since 63 × 16 = 1008,
    48/63 = 48 × 16/63 × 16 = 768/1008
  4. Add the two like fractions:
    882/1008 + 768/1008 = 882 + 768/1008 = 1650/1008
  5. 1650/1008 simplified gives 275/168
  6. So, 42/48 + 48/63 = 275/168
    In mixed form: 1107/168

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