Add 18/27 and 30/84
18/27 + 30/84 is 43/42.
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,
18/27 = 18 × 28/27 × 28 = 504/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
30/84 = 30 × 9/84 × 9 = 270/756 - Add the two like fractions:
504/756 + 270/756 = 504 + 270/756 = 774/756 - 774/756 simplified gives 43/42
- So, 18/27 + 30/84 = 43/42
In mixed form: 11/42
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