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Add 10/15 and 40/35

1st number: 10/15, 2nd number: 1 5/35

10/15 + 40/35 is 38/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 35 is 105

    Next, find the equivalent fraction of both fractional numbers with denominator 105
  2. For the 1st fraction, since 15 × 7 = 105,
    10/15 = 10 × 7/15 × 7 = 70/105
  3. Likewise, for the 2nd fraction, since 35 × 3 = 105,
    40/35 = 40 × 3/35 × 3 = 120/105
  4. Add the two like fractions:
    70/105 + 120/105 = 70 + 120/105 = 190/105
  5. 190/105 simplified gives 38/21
  6. So, 10/15 + 40/35 = 38/21
    In mixed form: 117/21

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