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Add 10/20 and 42/45

10/20 + 42/45 is 43/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 45 is 180
  2. For the 1st fraction, since 20 × 9 = 180,
    10/20 = 10 × 9/20 × 9 = 90/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    42/45 = 42 × 4/45 × 4 = 168/180
  4. Add the two fractions:
    90/180 + 168/180 = 90 + 168/180 = 258/180
  5. After reducing the fraction, the answer is 43/30
  6. In mixed form: 113/30

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