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Add 4/28 and 40/75

4/28 + 40/75 is 71/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 28 and 75 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 28 × 75 = 2100,
    4/28 = 4 × 75/28 × 75 = 300/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    40/75 = 40 × 28/75 × 28 = 1120/2100
  4. Add the two like fractions:
    300/2100 + 1120/2100 = 300 + 1120/2100 = 1420/2100
  5. 1420/2100 simplified gives 71/105
  6. So, 4/28 + 40/75 = 71/105

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