Add 49/45 and 84/81
1st number: 1 4/45, 2nd number: 1 3/81
49/45 + 84/81 is 287/135.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 81 is 405
Next, find the equivalent fraction of both fractional numbers with denominator 405 - For the 1st fraction, since 45 × 9 = 405,
49/45 = 49 × 9/45 × 9 = 441/405 - Likewise, for the 2nd fraction, since 81 × 5 = 405,
84/81 = 84 × 5/81 × 5 = 420/405 - Add the two like fractions:
441/405 + 420/405 = 441 + 420/405 = 861/405 - 861/405 simplified gives 287/135
- So, 49/45 + 84/81 = 287/135
In mixed form: 217/135
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