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Add 30/40 and 72/90

30/40 + 72/90 is 31/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 90 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 40 × 9 = 360,
    30/40 = 30 × 9/40 × 9 = 270/360
  3. Likewise, for the 2nd fraction, since 90 × 4 = 360,
    72/90 = 72 × 4/90 × 4 = 288/360
  4. Add the two like fractions:
    270/360 + 288/360 = 270 + 288/360 = 558/360
  5. 558/360 simplified gives 31/20
  6. So, 30/40 + 72/90 = 31/20
    In mixed form: 111/20

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