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Add 40/90 and 21/32

40/90 + 21/32 is 317/288.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 32 is 1440
  2. For the 1st fraction, since 90 × 16 = 1440,
    40/90 = 40 × 16/90 × 16 = 640/1440
  3. Likewise, for the 2nd fraction, since 32 × 45 = 1440,
    21/32 = 21 × 45/32 × 45 = 945/1440
  4. Add the two fractions:
    640/1440 + 945/1440 = 640 + 945/1440 = 1585/1440
  5. After reducing the fraction, the answer is 317/288
  6. In mixed form: 129/288

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