Add 14/27 and 84/49
1st number: 14/27, 2nd number: 1 35/49
14/27 + 84/49 is 422/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
14/27 = 14 × 49/27 × 49 = 686/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
84/49 = 84 × 27/49 × 27 = 2268/1323 - Add the two like fractions:
686/1323 + 2268/1323 = 686 + 2268/1323 = 2954/1323 - 2954/1323 simplified gives 422/189
- So, 14/27 + 84/49 = 422/189
In mixed form: 244/189
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