Add 27/4 and 9/49
1st number: 6 3/4, 2nd number: 9/49
27/4 + 9/49 is 1359/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
27/4 = 27 × 49/4 × 49 = 1323/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
9/49 = 9 × 4/49 × 4 = 36/196 - Add the two like fractions:
1323/196 + 36/196 = 1323 + 36/196 = 1359/196 - So, 27/4 + 9/49 = 1359/196
In mixed form: 6183/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/4+9/49 27/4+18/49 27/8+9/49 27/4+9/98 81/4+9/49 27/4+27/49 27/12+9/49 27/4+45/49 27/20+9/49 27/4+63/49 27/28+9/49