Add 21/2 and 40/49
1st number: 10 1/2, 2nd number: 40/49
21/2 + 40/49 is 1109/98.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 2 × 49 = 98,
21/2 = 21 × 49/2 × 49 = 1029/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
40/49 = 40 × 2/49 × 2 = 80/98 - Add the two like fractions:
1029/98 + 80/98 = 1029 + 80/98 = 1109/98 - So, 21/2 + 40/49 = 1109/98
In mixed form: 1131/98
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/2+40/49 21/2+80/49 21/4+40/49 21/2+40/98 63/2+40/49 21/6+40/49 21/10+40/49 21/14+40/49