Add 5/27 and 21/49
5/27 + 21/49 is 116/189.
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,
5/27 = 5 × 49/27 × 49 = 245/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
21/49 = 21 × 27/49 × 27 = 567/1323 - Add the two like fractions:
245/1323 + 567/1323 = 245 + 567/1323 = 812/1323 - 812/1323 simplified gives 116/189
- So, 5/27 + 21/49 = 116/189
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