Add 49/27 and 28/63
1st number: 1 22/27, 2nd number: 28/63
49/27 + 28/63 is 61/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 63 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
49/27 = 49 × 7/27 × 7 = 343/189 - Likewise, for the 2nd fraction, since 63 × 3 = 189,
28/63 = 28 × 3/63 × 3 = 84/189 - Add the two like fractions:
343/189 + 84/189 = 343 + 84/189 = 427/189 - 427/189 simplified gives 61/27
- So, 49/27 + 28/63 = 61/27
In mixed form: 27/27
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