Add 20/84 and 14/49
20/84 + 14/49 is 11/21.
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,
20/84 = 20 × 7/84 × 7 = 140/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
14/49 = 14 × 12/49 × 12 = 168/588 - Add the two like fractions:
140/588 + 168/588 = 140 + 168/588 = 308/588 - 308/588 simplified gives 11/21
- So, 20/84 + 14/49 = 11/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/84+14/49 20/84+28/49 20/84+14/98 60/84+14/49 20/84+42/49 20/84+70/49 20/84+98/49