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Add 16/40 and 7/49

16/40 + 7/49 is 19/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 49 is 1960

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 40 × 49 = 1960,
    16/40 = 16 × 49/40 × 49 = 784/1960
  3. Likewise, for the 2nd fraction, since 49 × 40 = 1960,
    7/49 = 7 × 40/49 × 40 = 280/1960
  4. Add the two like fractions:
    784/1960 + 280/1960 = 784 + 280/1960 = 1064/1960
  5. 1064/1960 simplified gives 19/35
  6. So, 16/40 + 7/49 = 19/35

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