Add 35/84 and 12/27
35/84 + 12/27 is 31/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
35/84 = 35 × 9/84 × 9 = 315/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
12/27 = 12 × 28/27 × 28 = 336/756 - Add the two like fractions:
315/756 + 336/756 = 315 + 336/756 = 651/756 - 651/756 simplified gives 31/36
- So, 35/84 + 12/27 = 31/36
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