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Add 30/54 and 42/64

30/54 + 42/64 is 349/288.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 54 and 64 is 1728

    Next, find the equivalent fraction of both fractional numbers with denominator 1728
  2. For the 1st fraction, since 54 × 32 = 1728,
    30/54 = 30 × 32/54 × 32 = 960/1728
  3. Likewise, for the 2nd fraction, since 64 × 27 = 1728,
    42/64 = 42 × 27/64 × 27 = 1134/1728
  4. Add the two like fractions:
    960/1728 + 1134/1728 = 960 + 1134/1728 = 2094/1728
  5. 2094/1728 simplified gives 349/288
  6. So, 30/54 + 42/64 = 349/288
    In mixed form: 161/288

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