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Add 35/12 and 42/45

1st number: 2 11/12, 2nd number: 42/45

35/12 + 42/45 is 77/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 12 and 45 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 12 × 15 = 180,
    35/12 = 35 × 15/12 × 15 = 525/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    42/45 = 42 × 4/45 × 4 = 168/180
  4. Add the two like fractions:
    525/180 + 168/180 = 525 + 168/180 = 693/180
  5. 693/180 simplified gives 77/20
  6. So, 35/12 + 42/45 = 77/20
    In mixed form: 317/20

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