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Add 16/20 and 42/45

16/20 + 42/45 is 26/15.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 20 × 9 = 180,
    16/20 = 16 × 9/20 × 9 = 144/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    42/45 = 42 × 4/45 × 4 = 168/180
  4. Add the two like fractions:
    144/180 + 168/180 = 144 + 168/180 = 312/180
  5. 312/180 simplified gives 26/15
  6. So, 16/20 + 42/45 = 26/15
    In mixed form: 111/15

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