Add 8/27 and 20/84
8/27 + 20/84 is 101/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 84 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
8/27 = 8 × 28/27 × 28 = 224/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
20/84 = 20 × 9/84 × 9 = 180/756 - Add the two like fractions:
224/756 + 180/756 = 224 + 180/756 = 404/756 - 404/756 simplified gives 101/189
- So, 8/27 + 20/84 = 101/189
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