Add 30/84 and 21/27
30/84 + 21/27 is 143/126.
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,
30/84 = 30 × 9/84 × 9 = 270/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
21/27 = 21 × 28/27 × 28 = 588/756 - Add the two like fractions:
270/756 + 588/756 = 270 + 588/756 = 858/756 - 858/756 simplified gives 143/126
- So, 30/84 + 21/27 = 143/126
In mixed form: 117/126
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