Add 35/36 and 21/84
35/36 + 21/84 is 11/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
35/36 = 35 × 7/36 × 7 = 245/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
21/84 = 21 × 3/84 × 3 = 63/252 - Add the two like fractions:
245/252 + 63/252 = 245 + 63/252 = 308/252 - 308/252 simplified gives 11/9
- So, 35/36 + 21/84 = 11/9
In mixed form: 12/9
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