Add 40/49 and 3/27
40/49 + 3/27 is 409/441.
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,
40/49 = 40 × 27/49 × 27 = 1080/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
3/27 = 3 × 49/27 × 49 = 147/1323 - Add the two like fractions:
1080/1323 + 147/1323 = 1080 + 147/1323 = 1227/1323 - 1227/1323 simplified gives 409/441
- So, 40/49 + 3/27 = 409/441
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