Add 72/27 and 35/84
1st number: 2 18/27, 2nd number: 35/84
72/27 + 35/84 is 37/12.
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,
72/27 = 72 × 28/27 × 28 = 2016/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
35/84 = 35 × 9/84 × 9 = 315/756 - Add the two like fractions:
2016/756 + 315/756 = 2016 + 315/756 = 2331/756 - 2331/756 simplified gives 37/12
- So, 72/27 + 35/84 = 37/12
In mixed form: 31/12
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