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Add 40/75 and 21/12

1st number: 40/75, 2nd number: 1 9/12

40/75 + 21/12 is 137/60.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 12 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 75 × 4 = 300,
    40/75 = 40 × 4/75 × 4 = 160/300
  3. Likewise, for the 2nd fraction, since 12 × 25 = 300,
    21/12 = 21 × 25/12 × 25 = 525/300
  4. Add the two like fractions:
    160/300 + 525/300 = 160 + 525/300 = 685/300
  5. 685/300 simplified gives 137/60
  6. So, 40/75 + 21/12 = 137/60
    In mixed form: 217/60

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