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Add 10/21 and 40/45

10/21 + 40/45 is 86/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315
  2. For the 1st fraction, since 21 × 15 = 315,
    10/21 = 10 × 15/21 × 15 = 150/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    40/45 = 40 × 7/45 × 7 = 280/315
  4. Add the two fractions:
    150/315 + 280/315 = 150 + 280/315 = 430/315
  5. After reducing the fraction, the answer is 86/63
  6. In mixed form: 123/63

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