Add 49/27 and 18/24
1st number: 1 22/27, 2nd number: 18/24
49/27 + 18/24 is 277/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 24 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
49/27 = 49 × 8/27 × 8 = 392/216 - Likewise, for the 2nd fraction, since 24 × 9 = 216,
18/24 = 18 × 9/24 × 9 = 162/216 - Add the two like fractions:
392/216 + 162/216 = 392 + 162/216 = 554/216 - 554/216 simplified gives 277/108
- So, 49/27 + 18/24 = 277/108
In mixed form: 261/108
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