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Add 7/84 and 4/45

7/84 + 4/45 is 31/180.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 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 45 × 28 = 1260,
    4/45 = 4 × 28/45 × 28 = 112/1260
  4. Add the two fractions:
    105/1260 + 112/1260 = 105 + 112/1260 = 217/1260
  5. 217/1260 simplified gives 31/180
  6. So, 7/84 + 4/45 = 31/180

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