Add 48/27 and 35/84
1st number: 1 21/27, 2nd number: 35/84
48/27 + 35/84 is 79/36.
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,
48/27 = 48 × 28/27 × 28 = 1344/756 - Likewise, for the 2nd fraction, since 84 × 9 = 756,
35/84 = 35 × 9/84 × 9 = 315/756 - Add the two like fractions:
1344/756 + 315/756 = 1344 + 315/756 = 1659/756 - 1659/756 simplified gives 79/36
- So, 48/27 + 35/84 = 79/36
In mixed form: 27/36
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