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Add 40/49 and 10/90

40/49 + 10/90 is 409/441.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 90 is 4410

    Next, find the equivalent fraction of both fractional numbers with denominator 4410
  2. For the 1st fraction, since 49 × 90 = 4410,
    40/49 = 40 × 90/49 × 90 = 3600/4410
  3. Likewise, for the 2nd fraction, since 90 × 49 = 4410,
    10/90 = 10 × 49/90 × 49 = 490/4410
  4. Add the two like fractions:
    3600/4410 + 490/4410 = 3600 + 490/4410 = 4090/4410
  5. 4090/4410 simplified gives 409/441
  6. So, 40/49 + 10/90 = 409/441

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