Add 35/84 and 21/27
35/84 + 21/27 is 43/36.
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,
21/27 = 21 × 28/27 × 28 = 588/756 - Add the two like fractions:
315/756 + 588/756 = 315 + 588/756 = 903/756 - 903/756 simplified gives 43/36
- So, 35/84 + 21/27 = 43/36
In mixed form: 17/36
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