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Add 21/70 and 70/75

21/70 + 70/75 is 37/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 70 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 70 × 15 = 1050,
    21/70 = 21 × 15/70 × 15 = 315/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    70/75 = 70 × 14/75 × 14 = 980/1050
  4. Add the two like fractions:
    315/1050 + 980/1050 = 315 + 980/1050 = 1295/1050
  5. 1295/1050 simplified gives 37/30
  6. So, 21/70 + 70/75 = 37/30
    In mixed form: 17/30

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