Add 84/21 and 49/27
1st number: 4 0/21, 2nd number: 1 22/27
84/21 + 49/27 is 157/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
84/21 = 84 × 9/21 × 9 = 756/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
49/27 = 49 × 7/27 × 7 = 343/189 - Add the two like fractions:
756/189 + 343/189 = 756 + 343/189 = 1099/189 - 1099/189 simplified gives 157/27
- So, 84/21 + 49/27 = 157/27
In mixed form: 522/27
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