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Add 40/49 and 10/16

40/49 + 10/16 is 565/392.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 16 is 784

    Next, find the equivalent fraction of both fractional numbers with denominator 784
  2. For the 1st fraction, since 49 × 16 = 784,
    40/49 = 40 × 16/49 × 16 = 640/784
  3. Likewise, for the 2nd fraction, since 16 × 49 = 784,
    10/16 = 10 × 49/16 × 49 = 490/784
  4. Add the two like fractions:
    640/784 + 490/784 = 640 + 490/784 = 1130/784
  5. 1130/784 simplified gives 565/392
  6. So, 40/49 + 10/16 = 565/392
    In mixed form: 1173/392

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