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Add 12/15 and 21/32

12/15 + 21/32 is 233/160.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 32 is 480

    Next, find the equivalent fraction of both fractional numbers with denominator 480
  2. For the 1st fraction, since 15 × 32 = 480,
    12/15 = 12 × 32/15 × 32 = 384/480
  3. Likewise, for the 2nd fraction, since 32 × 15 = 480,
    21/32 = 21 × 15/32 × 15 = 315/480
  4. Add the two like fractions:
    384/480 + 315/480 = 384 + 315/480 = 699/480
  5. 699/480 simplified gives 233/160
  6. So, 12/15 + 21/32 = 233/160
    In mixed form: 173/160

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