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Add 21/90 and 35/40

21/90 + 35/40 is 133/120.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 90 × 4 = 360,
    21/90 = 21 × 4/90 × 4 = 84/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    35/40 = 35 × 9/40 × 9 = 315/360
  4. Add the two like fractions:
    84/360 + 315/360 = 84 + 315/360 = 399/360
  5. 399/360 simplified gives 133/120
  6. So, 21/90 + 35/40 = 133/120
    In mixed form: 113/120

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