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Add 21/75 and 9/40

21/75 + 9/40 is 101/200.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 40 is 600

    Next, find the equivalent fraction of both fractional numbers with denominator 600
  2. For the 1st fraction, since 75 × 8 = 600,
    21/75 = 21 × 8/75 × 8 = 168/600
  3. Likewise, for the 2nd fraction, since 40 × 15 = 600,
    9/40 = 9 × 15/40 × 15 = 135/600
  4. Add the two like fractions:
    168/600 + 135/600 = 168 + 135/600 = 303/600
  5. 303/600 simplified gives 101/200
  6. So, 21/75 + 9/40 = 101/200

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