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Add 27/21 and 21/49

1st number: 1 6/21, 2nd number: 21/49

27/21 + 21/49 is 12/7.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 49 is 147

    Next, find the equivalent fraction of both fractional numbers with denominator 147
  2. For the 1st fraction, since 21 × 7 = 147,
    27/21 = 27 × 7/21 × 7 = 189/147
  3. Likewise, for the 2nd fraction, since 49 × 3 = 147,
    21/49 = 21 × 3/49 × 3 = 63/147
  4. Add the two like fractions:
    189/147 + 63/147 = 189 + 63/147 = 252/147
  5. 252/147 simplified gives 12/7
  6. So, 27/21 + 21/49 = 12/7
    In mixed form: 15/7

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