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Add 7/42 and 40/75

7/42 + 40/75 is 7/10.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 42 × 25 = 1050,
    7/42 = 7 × 25/42 × 25 = 175/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    40/75 = 40 × 14/75 × 14 = 560/1050
  4. Add the two like fractions:
    175/1050 + 560/1050 = 175 + 560/1050 = 735/1050
  5. 735/1050 simplified gives 7/10
  6. So, 7/42 + 40/75 = 7/10

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