Add 36/14 and 54/49
1st number: 2 8/14, 2nd number: 1 5/49
36/14 + 54/49 is 180/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
36/14 = 36 × 7/14 × 7 = 252/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
54/49 = 54 × 2/49 × 2 = 108/98 - Add the two like fractions:
252/98 + 108/98 = 252 + 108/98 = 360/98 - 360/98 simplified gives 180/49
- So, 36/14 + 54/49 = 180/49
In mixed form: 333/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/14+54/49 36/28+54/49 36/14+54/98 36/42+54/49 36/70+54/49 36/98+54/49