Add 49/84 and 4/9
49/84 + 4/9 is 37/36.
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,
49/84 = 49 × 3/84 × 3 = 147/252 - Likewise, for the 2nd fraction, since 9 × 28 = 252,
4/9 = 4 × 28/9 × 28 = 112/252 - Add the two like fractions:
147/252 + 112/252 = 147 + 112/252 = 259/252 - 259/252 simplified gives 37/36
- So, 49/84 + 4/9 = 37/36
In mixed form: 11/36
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