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Add 42/45 and 9/20

42/45 + 9/20 is 83/60.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 20 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 45 × 4 = 180,
    42/45 = 42 × 4/45 × 4 = 168/180
  3. Likewise, for the 2nd fraction, since 20 × 9 = 180,
    9/20 = 9 × 9/20 × 9 = 81/180
  4. Add the two like fractions:
    168/180 + 81/180 = 168 + 81/180 = 249/180
  5. 249/180 simplified gives 83/60
  6. So, 42/45 + 9/20 = 83/60
    In mixed form: 123/60

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