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Add 30/49 and 40/90

30/49 + 40/90 is 466/441.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 90 is 4410
  2. For the 1st fraction, since 49 × 90 = 4410,
    30/49 = 30 × 90/49 × 90 = 2700/4410
  3. Likewise, for the 2nd fraction, since 90 × 49 = 4410,
    40/90 = 40 × 49/90 × 49 = 1960/4410
  4. Add the two fractions:
    2700/4410 + 1960/4410 = 2700 + 1960/4410 = 4660/4410
  5. 4660/4410 simplified gives 466/441
  6. So, 30/49 + 40/90 = 466/441
    In mixed form: 125/441

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