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Add 35/42 and 21/45

35/42 + 21/45 is 13/10.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 45 is 630
  2. For the 1st fraction, since 42 × 15 = 630,
    35/42 = 35 × 15/42 × 15 = 525/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    21/45 = 21 × 14/45 × 14 = 294/630
  4. Add the two fractions:
    525/630 + 294/630 = 525 + 294/630 = 819/630
  5. After reducing the fraction, the answer is 13/10
  6. In mixed form: 13/10

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