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Add 10/28 and 49/90

10/28 + 49/90 is 284/315.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 90 is 1260
  2. For the 1st fraction, since 28 × 45 = 1260,
    10/28 = 10 × 45/28 × 45 = 450/1260
  3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
    49/90 = 49 × 14/90 × 14 = 686/1260
  4. Add the two fractions:
    450/1260 + 686/1260 = 450 + 686/1260 = 1136/1260
  5. 1136/1260 simplified gives 284/315
  6. So, 10/28 + 49/90 = 284/315

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