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Add 12/30 and 21/32

12/30 + 21/32 is 169/160.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 32 is 480

    Next, find the equivalent fraction of both fractional numbers with denominator 480
  2. For the 1st fraction, since 30 × 16 = 480,
    12/30 = 12 × 16/30 × 16 = 192/480
  3. Likewise, for the 2nd fraction, since 32 × 15 = 480,
    21/32 = 21 × 15/32 × 15 = 315/480
  4. Add the two like fractions:
    192/480 + 315/480 = 192 + 315/480 = 507/480
  5. 507/480 simplified gives 169/160
  6. So, 12/30 + 21/32 = 169/160
    In mixed form: 19/160

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