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Add 30/75 and 42/54

30/75 + 42/54 is 53/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 54 is 1350

    Next, find the equivalent fraction of both fractional numbers with denominator 1350
  2. For the 1st fraction, since 75 × 18 = 1350,
    30/75 = 30 × 18/75 × 18 = 540/1350
  3. Likewise, for the 2nd fraction, since 54 × 25 = 1350,
    42/54 = 42 × 25/54 × 25 = 1050/1350
  4. Add the two like fractions:
    540/1350 + 1050/1350 = 540 + 1050/1350 = 1590/1350
  5. 1590/1350 simplified gives 53/45
  6. So, 30/75 + 42/54 = 53/45
    In mixed form: 18/45

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