Add 35/84 and 28/9
1st number: 35/84, 2nd number: 3 1/9
35/84 + 28/9 is 127/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 9 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 84 × 3 = 252,
35/84 = 35 × 3/84 × 3 = 105/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
28/9 = 28 × 28/9 × 28 = 784/252 - Add the two like fractions:
105/252 + 784/252 = 105 + 784/252 = 889/252 - 889/252 simplified gives 127/36
- So, 35/84 + 28/9 = 127/36
In mixed form: 319/36
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