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Add 21/30 and 49/14

1st number: 21/30, 2nd number: 3 7/14

21/30 + 49/14 is 21/5.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 14 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    21/30 = 21 × 7/30 × 7 = 147/210
  3. Likewise, for the 2nd fraction, since 14 × 15 = 210,
    49/14 = 49 × 15/14 × 15 = 735/210
  4. Add the two like fractions:
    147/210 + 735/210 = 147 + 735/210 = 882/210
  5. 882/210 simplified gives 21/5
  6. So, 21/30 + 49/14 = 21/5
    In mixed form: 41/5

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