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Add 21/84 and 42/49

21/84 + 42/49 is 31/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 49 is 588
  2. For the 1st fraction, since 84 × 7 = 588,
    21/84 = 21 × 7/84 × 7 = 147/588
  3. Likewise, for the 2nd fraction, since 49 × 12 = 588,
    42/49 = 42 × 12/49 × 12 = 504/588
  4. Add the two fractions:
    147/588 + 504/588 = 147 + 504/588 = 651/588
  5. After reducing the fraction, the answer is 31/28
  6. In mixed form: 13/28

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