Add 49/54 and 9/14
49/54 + 9/14 is 293/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 54 × 7 = 378,
49/54 = 49 × 7/54 × 7 = 343/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
9/14 = 9 × 27/14 × 27 = 243/378 - Add the two like fractions:
343/378 + 243/378 = 343 + 243/378 = 586/378 - 586/378 simplified gives 293/189
- So, 49/54 + 9/14 = 293/189
In mixed form: 1104/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/54+9/14 49/54+18/14 49/54+9/28 49/54+27/14 49/54+9/42 49/54+45/14 49/54+9/70 49/54+63/14 49/54+9/98