Add 49/16 and 84/9
1st number: 3 1/16, 2nd number: 9 3/9
49/16 + 84/9 is 595/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
49/16 = 49 × 9/16 × 9 = 441/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
84/9 = 84 × 16/9 × 16 = 1344/144 - Add the two like fractions:
441/144 + 1344/144 = 441 + 1344/144 = 1785/144 - 1785/144 simplified gives 595/48
- So, 49/16 + 84/9 = 595/48
In mixed form: 1219/48
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