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Add 21/8 and 49/40

1st number: 2 5/8, 2nd number: 1 9/40

21/8 + 49/40 is 77/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 8 and 40 is 40

    Next, find the equivalent fraction of both fractional numbers with denominator 40
  2. For the 1st fraction, since 8 × 5 = 40,
    21/8 = 21 × 5/8 × 5 = 105/40
  3. Likewise, for the 2nd fraction, since 40 × 1 = 40,
    49/40 = 49 × 1/40 × 1 = 49/40
  4. Add the two like fractions:
    105/40 + 49/40 = 105 + 49/40 = 154/40
  5. 154/40 simplified gives 77/20
  6. So, 21/8 + 49/40 = 77/20
    In mixed form: 317/20

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