Add 3/27 and 3/84
3/27 + 3/84 is 37/252.
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,
3/27 = 3 × 28/27 × 28 = 84/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
3/84 = 3 × 9/84 × 9 = 27/756 - Add the two like fractions:
84/756 + 27/756 = 84 + 27/756 = 111/756 - 111/756 simplified gives 37/252
- So, 3/27 + 3/84 = 37/252
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