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Add 7/21 and 28/40

7/21 + 28/40 is 31/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 40 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 21 × 40 = 840,
    7/21 = 7 × 40/21 × 40 = 280/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    28/40 = 28 × 21/40 × 21 = 588/840
  4. Add the two like fractions:
    280/840 + 588/840 = 280 + 588/840 = 868/840
  5. 868/840 simplified gives 31/30
  6. So, 7/21 + 28/40 = 31/30
    In mixed form: 11/30

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