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Add 40/45 and 21/30

40/45 + 21/30 is 143/90.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 30 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 45 × 2 = 90,
    40/45 = 40 × 2/45 × 2 = 80/90
  3. Likewise, for the 2nd fraction, since 30 × 3 = 90,
    21/30 = 21 × 3/30 × 3 = 63/90
  4. Add the two like fractions:
    80/90 + 63/90 = 80 + 63/90 = 143/90
  5. So, 40/45 + 21/30 = 143/90
    In mixed form: 153/90

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