Add 35/27 and 2/84
1st number: 1 8/27, 2nd number: 2/84
35/27 + 2/84 is 499/378.
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,
35/27 = 35 × 28/27 × 28 = 980/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
2/84 = 2 × 9/84 × 9 = 18/756 - Add the two like fractions:
980/756 + 18/756 = 980 + 18/756 = 998/756 - 998/756 simplified gives 499/378
- So, 35/27 + 2/84 = 499/378
In mixed form: 1121/378
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