Add 40/49 and 21/27
40/49 + 21/27 is 703/441.
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,
21/27 = 21 × 49/27 × 49 = 1029/1323 - Add the two like fractions:
1080/1323 + 1029/1323 = 1080 + 1029/1323 = 2109/1323 - 2109/1323 simplified gives 703/441
- So, 40/49 + 21/27 = 703/441
In mixed form: 1262/441
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