Add 49/4 and 9/27
1st number: 12 1/4, 2nd number: 9/27
49/4 + 9/27 is 151/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
49/4 = 49 × 27/4 × 27 = 1323/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
9/27 = 9 × 4/27 × 4 = 36/108 - Add the two like fractions:
1323/108 + 36/108 = 1323 + 36/108 = 1359/108 - 1359/108 simplified gives 151/12
- So, 49/4 + 9/27 = 151/12
In mixed form: 127/12
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