Add 10/27 and 27/84
10/27 + 27/84 is 523/756.
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,
10/27 = 10 × 28/27 × 28 = 280/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
27/84 = 27 × 9/84 × 9 = 243/756 - Add the two like fractions:
280/756 + 243/756 = 280 + 243/756 = 523/756 - So, 10/27 + 27/84 = 523/756
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