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Add 30/45 and 42/64

30/45 + 42/64 is 127/96.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 64 is 2880

    Next, find the equivalent fraction of both fractional numbers with denominator 2880
  2. For the 1st fraction, since 45 × 64 = 2880,
    30/45 = 30 × 64/45 × 64 = 1920/2880
  3. Likewise, for the 2nd fraction, since 64 × 45 = 2880,
    42/64 = 42 × 45/64 × 45 = 1890/2880
  4. Add the two like fractions:
    1920/2880 + 1890/2880 = 1920 + 1890/2880 = 3810/2880
  5. 3810/2880 simplified gives 127/96
  6. So, 30/45 + 42/64 = 127/96
    In mixed form: 131/96

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