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Add 49/20 and 21/4

1st number: 2 9/20, 2nd number: 5 1/4

49/20 + 21/4 is 77/10.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 4 is 20

    Next, find the equivalent fraction of both fractional numbers with denominator 20
  2. For the 1st fraction, since 20 × 1 = 20,
    49/20 = 49 × 1/20 × 1 = 49/20
  3. Likewise, for the 2nd fraction, since 4 × 5 = 20,
    21/4 = 21 × 5/4 × 5 = 105/20
  4. Add the two like fractions:
    49/20 + 105/20 = 49 + 105/20 = 154/20
  5. 154/20 simplified gives 77/10
  6. So, 49/20 + 21/4 = 77/10
    In mixed form: 77/10

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