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Add 10/12 and 42/45

10/12 + 42/45 is 53/30.

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,
    10/12 = 10 × 15/12 × 15 = 150/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    42/45 = 42 × 4/45 × 4 = 168/180
  4. Add the two like fractions:
    150/180 + 168/180 = 150 + 168/180 = 318/180
  5. 318/180 simplified gives 53/30
  6. So, 10/12 + 42/45 = 53/30
    In mixed form: 123/30

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