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Add 98/45 and 75/27

1st number: 2 8/45, 2nd number: 2 21/27

98/45 + 75/27 is 223/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 27 is 135

    Next, find the equivalent fraction of both fractional numbers with denominator 135
  2. For the 1st fraction, since 45 × 3 = 135,
    98/45 = 98 × 3/45 × 3 = 294/135
  3. Likewise, for the 2nd fraction, since 27 × 5 = 135,
    75/27 = 75 × 5/27 × 5 = 375/135
  4. Add the two like fractions:
    294/135 + 375/135 = 294 + 375/135 = 669/135
  5. 669/135 simplified gives 223/45
  6. So, 98/45 + 75/27 = 223/45
    In mixed form: 443/45

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