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Add 84/90 and 40/84

84/90 + 40/84 is 148/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 84 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 90 × 14 = 1260,
    84/90 = 84 × 14/90 × 14 = 1176/1260
  3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
    40/84 = 40 × 15/84 × 15 = 600/1260
  4. Add the two like fractions:
    1176/1260 + 600/1260 = 1176 + 600/1260 = 1776/1260
  5. 1776/1260 simplified gives 148/105
  6. So, 84/90 + 40/84 = 148/105
    In mixed form: 143/105

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