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Add 21/49 and 16/30

21/49 + 16/30 is 101/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 30 is 1470
  2. For the 1st fraction, since 49 × 30 = 1470,
    21/49 = 21 × 30/49 × 30 = 630/1470
  3. Likewise, for the 2nd fraction, since 30 × 49 = 1470,
    16/30 = 16 × 49/30 × 49 = 784/1470
  4. Add the two fractions:
    630/1470 + 784/1470 = 630 + 784/1470 = 1414/1470
  5. After reducing the fraction, the answer is 101/105

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