Add 30/27 and 48/49
1st number: 1 3/27, 2nd number: 48/49
30/27 + 48/49 is 922/441.
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,
48/49 = 48 × 27/49 × 27 = 1296/1323 - Add the two like fractions:
1470/1323 + 1296/1323 = 1470 + 1296/1323 = 2766/1323 - 2766/1323 simplified gives 922/441
- So, 30/27 + 48/49 = 922/441
In mixed form: 240/441
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