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Add 16/35 and 21/49

16/35 + 21/49 is 31/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 49 is 245

    Next, find the equivalent fraction of both fractional numbers with denominator 245
  2. For the 1st fraction, since 35 × 7 = 245,
    16/35 = 16 × 7/35 × 7 = 112/245
  3. Likewise, for the 2nd fraction, since 49 × 5 = 245,
    21/49 = 21 × 5/49 × 5 = 105/245
  4. Add the two like fractions:
    112/245 + 105/245 = 112 + 105/245 = 217/245
  5. 217/245 simplified gives 31/35
  6. So, 16/35 + 21/49 = 31/35

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