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Add 40/42 and 21/72

40/42 + 21/72 is 209/168.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 72 is 504

    Next, find the equivalent fraction of both fractional numbers with denominator 504
  2. For the 1st fraction, since 42 × 12 = 504,
    40/42 = 40 × 12/42 × 12 = 480/504
  3. Likewise, for the 2nd fraction, since 72 × 7 = 504,
    21/72 = 21 × 7/72 × 7 = 147/504
  4. Add the two like fractions:
    480/504 + 147/504 = 480 + 147/504 = 627/504
  5. 627/504 simplified gives 209/168
  6. So, 40/42 + 21/72 = 209/168
    In mixed form: 141/168

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