Add 30/27 and 30/49
1st number: 1 3/27, 2nd number: 30/49
30/27 + 30/49 is 760/441.
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,
30/27 = 30 × 49/27 × 49 = 1470/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
30/49 = 30 × 27/49 × 27 = 810/1323 - Add the two like fractions:
1470/1323 + 810/1323 = 1470 + 810/1323 = 2280/1323 - 2280/1323 simplified gives 760/441
- So, 30/27 + 30/49 = 760/441
In mixed form: 1319/441
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