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Add 16/49 and 35/40

16/49 + 35/40 is 471/392.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1960
  2. For the 1st fraction, since 49 × 40 = 1960,
    16/49 = 16 × 40/49 × 40 = 640/1960
  3. Likewise, for the 2nd fraction, since 40 × 49 = 1960,
    35/40 = 35 × 49/40 × 49 = 1715/1960
  4. Add the two like fractions:
    640/1960 + 1715/1960 = 640 + 1715/1960 = 2355/1960
  5. 2355/1960 simplified gives 471/392
  6. So, 16/49 + 35/40 = 471/392
    In mixed form: 179/392

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