Add 8/27 and 70/72
8/27 + 70/72 is 137/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 72 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 72 × 3 = 216,
70/72 = 70 × 3/72 × 3 = 210/216 - Add the two like fractions:
64/216 + 210/216 = 64 + 210/216 = 274/216 - 274/216 simplified gives 137/108
- So, 8/27 + 70/72 = 137/108
In mixed form: 129/108
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