Add 49/81 and 9/16
49/81 + 9/16 is 1513/1296.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 81 and 16 is 1296
Next, find the equivalent fraction of both fractional numbers with denominator 1296 - For the 1st fraction, since 81 × 16 = 1296,
49/81 = 49 × 16/81 × 16 = 784/1296 - Likewise, for the 2nd fraction, since 16 × 81 = 1296,
9/16 = 9 × 81/16 × 81 = 729/1296 - Add the two like fractions:
784/1296 + 729/1296 = 784 + 729/1296 = 1513/1296 - So, 49/81 + 9/16 = 1513/1296
In mixed form: 1217/1296
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