Add 32/9 and 49/84
1st number: 3 5/9, 2nd number: 49/84
32/9 + 49/84 is 149/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
32/9 = 32 × 28/9 × 28 = 896/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
49/84 = 49 × 3/84 × 3 = 147/252 - Add the two like fractions:
896/252 + 147/252 = 896 + 147/252 = 1043/252 - 1043/252 simplified gives 149/36
- So, 32/9 + 49/84 = 149/36
In mixed form: 45/36
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