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Add 4/15 and 42/54

4/15 + 42/54 is 47/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 54 is 270

    Next, find the equivalent fraction of both fractional numbers with denominator 270
  2. For the 1st fraction, since 15 × 18 = 270,
    4/15 = 4 × 18/15 × 18 = 72/270
  3. Likewise, for the 2nd fraction, since 54 × 5 = 270,
    42/54 = 42 × 5/54 × 5 = 210/270
  4. Add the two like fractions:
    72/270 + 210/270 = 72 + 210/270 = 282/270
  5. 282/270 simplified gives 47/45
  6. So, 4/15 + 42/54 = 47/45
    In mixed form: 12/45

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