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Add 40/48 and 42/63

40/48 + 42/63 is 3/2.

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,
    40/48 = 40 × 21/48 × 21 = 840/1008
  3. Likewise, for the 2nd fraction, since 63 × 16 = 1008,
    42/63 = 42 × 16/63 × 16 = 672/1008
  4. Add the two like fractions:
    840/1008 + 672/1008 = 840 + 672/1008 = 1512/1008
  5. 1512/1008 simplified gives 3/2
  6. So, 40/48 + 42/63 = 3/2
    In mixed form: 11/2

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