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Add 27/40 and 7/42

27/40 + 7/42 is 101/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 42 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 40 × 21 = 840,
    27/40 = 27 × 21/40 × 21 = 567/840
  3. Likewise, for the 2nd fraction, since 42 × 20 = 840,
    7/42 = 7 × 20/42 × 20 = 140/840
  4. Add the two like fractions:
    567/840 + 140/840 = 567 + 140/840 = 707/840
  5. 707/840 simplified gives 101/120
  6. So, 27/40 + 7/42 = 101/120

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