Add 40/49 and 30/27
1st number: 40/49, 2nd number: 1 3/27
40/49 + 30/27 is 850/441.
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,
30/27 = 30 × 49/27 × 49 = 1470/1323 - Add the two like fractions:
1080/1323 + 1470/1323 = 1080 + 1470/1323 = 2550/1323 - 2550/1323 simplified gives 850/441
- So, 40/49 + 30/27 = 850/441
In mixed form: 1409/441
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