Add 8/27 and 35/8
1st number: 8/27, 2nd number: 4 3/8
8/27 + 35/8 is 1009/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 8 is 216
Next, find the equivalent fraction of both fractional numbers with denominator 216 - For the 1st fraction, since 27 × 8 = 216,
8/27 = 8 × 8/27 × 8 = 64/216 - Likewise, for the 2nd fraction, since 8 × 27 = 216,
35/8 = 35 × 27/8 × 27 = 945/216 - Add the two like fractions:
64/216 + 945/216 = 64 + 945/216 = 1009/216 - So, 8/27 + 35/8 = 1009/216
In mixed form: 4145/216
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