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Add 27/10 and 30/40

1st number: 2 7/10, 2nd number: 30/40

27/10 + 30/40 is 69/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 40 is 40

    Next, find the equivalent fraction of both fractional numbers with denominator 40
  2. For the 1st fraction, since 10 × 4 = 40,
    27/10 = 27 × 4/10 × 4 = 108/40
  3. Likewise, for the 2nd fraction, since 40 × 1 = 40,
    30/40 = 30 × 1/40 × 1 = 30/40
  4. Add the two like fractions:
    108/40 + 30/40 = 108 + 30/40 = 138/40
  5. 138/40 simplified gives 69/20
  6. So, 27/10 + 30/40 = 69/20
    In mixed form: 39/20

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