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Add 40/21 and 21/49

1st number: 1 19/21, 2nd number: 21/49

40/21 + 21/49 is 7/3.

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,
    40/21 = 40 × 7/21 × 7 = 280/147
  3. Likewise, for the 2nd fraction, since 49 × 3 = 147,
    21/49 = 21 × 3/49 × 3 = 63/147
  4. Add the two like fractions:
    280/147 + 63/147 = 280 + 63/147 = 343/147
  5. 343/147 simplified gives 7/3
  6. So, 40/21 + 21/49 = 7/3
    In mixed form: 21/3

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