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Add 10/70 and 40/75

10/70 + 40/75 is 71/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 70 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 70 × 15 = 1050,
    10/70 = 10 × 15/70 × 15 = 150/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    40/75 = 40 × 14/75 × 14 = 560/1050
  4. Add the two like fractions:
    150/1050 + 560/1050 = 150 + 560/1050 = 710/1050
  5. 710/1050 simplified gives 71/105
  6. So, 10/70 + 40/75 = 71/105

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