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Add 4/21 and 35/45

4/21 + 35/45 is 61/63.

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,
    4/21 = 4 × 15/21 × 15 = 60/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    35/45 = 35 × 7/45 × 7 = 245/315
  4. Add the two fractions:
    60/315 + 245/315 = 60 + 245/315 = 305/315
  5. After reducing the fraction, the answer is 61/63

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