Add 27/8 and 35/27
1st number: 3 3/8, 2nd number: 1 8/27
27/8 + 35/27 is 1009/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 27 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 8 × 27 = 216,
27/8 = 27 × 27/8 × 27 = 729/216 - Likewise, for the 2nd fraction, since 27 × 8 = 216,
35/27 = 35 × 8/27 × 8 = 280/216 - Add the two like fractions:
729/216 + 280/216 = 729 + 280/216 = 1009/216 - So, 27/8 + 35/27 = 1009/216
In mixed form: 4145/216
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