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Add 7/84 and 8/90

7/84 + 8/90 is 31/180.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    7/84 = 7 × 15/84 × 15 = 105/1260
  3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
    8/90 = 8 × 14/90 × 14 = 112/1260
  4. Add the two like fractions:
    105/1260 + 112/1260 = 105 + 112/1260 = 217/1260
  5. 217/1260 simplified gives 31/180
  6. So, 7/84 + 8/90 = 31/180

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