Add 16/49 and 54/27
1st number: 16/49, 2nd number: 2 0/27
16/49 + 54/27 is 114/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
16/49 = 16 × 27/49 × 27 = 432/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
54/27 = 54 × 49/27 × 49 = 2646/1323 - Add the two like fractions:
432/1323 + 2646/1323 = 432 + 2646/1323 = 3078/1323 - 3078/1323 simplified gives 114/49
- So, 16/49 + 54/27 = 114/49
In mixed form: 216/49
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