Add 21/72 and 35/49
21/72 + 35/49 is 169/168.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 72 and 49 is 3528
Next, find the equivalent fraction of both fractional numbers with denominator 3528 - For the 1st fraction, since 72 × 49 = 3528,
21/72 = 21 × 49/72 × 49 = 1029/3528 - Likewise, for the 2nd fraction, since 49 × 72 = 3528,
35/49 = 35 × 72/49 × 72 = 2520/3528 - Add the two like fractions:
1029/3528 + 2520/3528 = 1029 + 2520/3528 = 3549/3528 - 3549/3528 simplified gives 169/168
- So, 21/72 + 35/49 = 169/168
In mixed form: 11/168
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/72+35/49 21/72+70/49 21/72+35/98 63/72+35/49