Add 7/49 and 2/27
7/49 + 2/27 is 41/189.
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,
7/49 = 7 × 27/49 × 27 = 189/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
2/27 = 2 × 49/27 × 49 = 98/1323 - Add the two like fractions:
189/1323 + 98/1323 = 189 + 98/1323 = 287/1323 - 287/1323 simplified gives 41/189
- So, 7/49 + 2/27 = 41/189
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