Add 49/84 and 21/36
49/84 + 21/36 is 7/6.
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,
49/84 = 49 × 3/84 × 3 = 147/252 - Likewise, for the 2nd fraction, since 36 × 7 = 252,
21/36 = 21 × 7/36 × 7 = 147/252 - Add the two like fractions:
147/252 + 147/252 = 147 + 147/252 = 294/252 - 294/252 simplified gives 7/6
- So, 49/84 + 21/36 = 7/6
In mixed form: 11/6
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