Add 84/24 and 49/27
1st number: 3 12/24, 2nd number: 1 22/27
84/24 + 49/27 is 287/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 24 × 9 = 216,
84/24 = 84 × 9/24 × 9 = 756/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
49/27 = 49 × 8/27 × 8 = 392/216 - Add the two like fractions:
756/216 + 392/216 = 756 + 392/216 = 1148/216 - 1148/216 simplified gives 287/54
- So, 84/24 + 49/27 = 287/54
In mixed form: 517/54
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