Add 21/84 and 10/49
21/84 + 10/49 is 89/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 84 × 7 = 588,
21/84 = 21 × 7/84 × 7 = 147/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
10/49 = 10 × 12/49 × 12 = 120/588 - Add the two like fractions:
147/588 + 120/588 = 147 + 120/588 = 267/588 - 267/588 simplified gives 89/196
- So, 21/84 + 10/49 = 89/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/84+10/49 21/84+20/49 21/84+10/98 63/84+10/49 21/84+30/49 21/84+50/49 21/84+70/49