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Add 30/48 and 40/63

30/48 + 40/63 is 635/504.

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,
    30/48 = 30 × 21/48 × 21 = 630/1008
  3. Likewise, for the 2nd fraction, since 63 × 16 = 1008,
    40/63 = 40 × 16/63 × 16 = 640/1008
  4. Add the two like fractions:
    630/1008 + 640/1008 = 630 + 640/1008 = 1270/1008
  5. 1270/1008 simplified gives 635/504
  6. So, 30/48 + 40/63 = 635/504
    In mixed form: 1131/504

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