Add 49/84 and 16/9
1st number: 49/84, 2nd number: 1 7/9
49/84 + 16/9 is 85/36.
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,
16/9 = 16 × 28/9 × 28 = 448/252 - Add the two like fractions:
147/252 + 448/252 = 147 + 448/252 = 595/252 - 595/252 simplified gives 85/36
- So, 49/84 + 16/9 = 85/36
In mixed form: 213/36
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