Add 35/84 and 28/36
35/84 + 28/36 is 43/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 36 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 36 × 7 = 252,
28/36 = 28 × 7/36 × 7 = 196/252 - Add the two like fractions:
105/252 + 196/252 = 105 + 196/252 = 301/252 - 301/252 simplified gives 43/36
- So, 35/84 + 28/36 = 43/36
In mixed form: 17/36
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