Add 30/84 and 45/27
1st number: 30/84, 2nd number: 1 18/27
30/84 + 45/27 is 85/42.
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,
45/27 = 45 × 28/27 × 28 = 1260/756 - Add the two like fractions:
270/756 + 1260/756 = 270 + 1260/756 = 1530/756 - 1530/756 simplified gives 85/42
- So, 30/84 + 45/27 = 85/42
In mixed form: 21/42
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