Add 4/27 and 35/49
4/27 + 35/49 is 163/189.
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,
4/27 = 4 × 49/27 × 49 = 196/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
35/49 = 35 × 27/49 × 27 = 945/1323 - Add the two like fractions:
196/1323 + 945/1323 = 196 + 945/1323 = 1141/1323 - 1141/1323 simplified gives 163/189
- So, 4/27 + 35/49 = 163/189
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