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Add 75/21 and 35/40

1st number: 3 12/21, 2nd number: 35/40

75/21 + 35/40 is 249/56.

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,
    75/21 = 75 × 40/21 × 40 = 3000/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    35/40 = 35 × 21/40 × 21 = 735/840
  4. Add the two like fractions:
    3000/840 + 735/840 = 3000 + 735/840 = 3735/840
  5. 3735/840 simplified gives 249/56
  6. So, 75/21 + 35/40 = 249/56
    In mixed form: 425/56

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