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Add 27/10 and 35/42

1st number: 2 7/10, 2nd number: 35/42

27/10 + 35/42 is 53/15.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 10 × 21 = 210,
    27/10 = 27 × 21/10 × 21 = 567/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    35/42 = 35 × 5/42 × 5 = 175/210
  4. Add the two like fractions:
    567/210 + 175/210 = 567 + 175/210 = 742/210
  5. 742/210 simplified gives 53/15
  6. So, 27/10 + 35/42 = 53/15
    In mixed form: 38/15

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