Add 35/84 and 56/27
1st number: 35/84, 2nd number: 2 2/27
35/84 + 56/27 is 269/108.
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,
35/84 = 35 × 9/84 × 9 = 315/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
56/27 = 56 × 28/27 × 28 = 1568/756 - Add the two like fractions:
315/756 + 1568/756 = 315 + 1568/756 = 1883/756 - 1883/756 simplified gives 269/108
- So, 35/84 + 56/27 = 269/108
In mixed form: 253/108
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