Add 54/49 and 12/27
1st number: 1 5/49, 2nd number: 12/27
54/49 + 12/27 is 682/441.
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,
54/49 = 54 × 27/49 × 27 = 1458/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
12/27 = 12 × 49/27 × 49 = 588/1323 - Add the two like fractions:
1458/1323 + 588/1323 = 1458 + 588/1323 = 2046/1323 - 2046/1323 simplified gives 682/441
- So, 54/49 + 12/27 = 682/441
In mixed form: 1241/441
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