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Add 12/45 and 21/32

12/45 + 21/32 is 443/480.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 32 is 1440

    Next, find the equivalent fraction of both fractional numbers with denominator 1440
  2. For the 1st fraction, since 45 × 32 = 1440,
    12/45 = 12 × 32/45 × 32 = 384/1440
  3. Likewise, for the 2nd fraction, since 32 × 45 = 1440,
    21/32 = 21 × 45/32 × 45 = 945/1440
  4. Add the two like fractions:
    384/1440 + 945/1440 = 384 + 945/1440 = 1329/1440
  5. 1329/1440 simplified gives 443/480
  6. So, 12/45 + 21/32 = 443/480

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