Add 20/84 and 30/27
1st number: 20/84, 2nd number: 1 3/27
20/84 + 30/27 is 85/63.
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,
20/84 = 20 × 9/84 × 9 = 180/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
30/27 = 30 × 28/27 × 28 = 840/756 - Add the two like fractions:
180/756 + 840/756 = 180 + 840/756 = 1020/756 - 1020/756 simplified gives 85/63
- So, 20/84 + 30/27 = 85/63
In mixed form: 122/63
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