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Add 49/10 and 35/21

1st number: 4 9/10, 2nd number: 1 14/21

49/10 + 35/21 is 197/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 21 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 10 × 21 = 210,
    49/10 = 49 × 21/10 × 21 = 1029/210
  3. Likewise, for the 2nd fraction, since 21 × 10 = 210,
    35/21 = 35 × 10/21 × 10 = 350/210
  4. Add the two like fractions:
    1029/210 + 350/210 = 1029 + 350/210 = 1379/210
  5. 1379/210 simplified gives 197/30
  6. So, 49/10 + 35/21 = 197/30
    In mixed form: 617/30

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