Add 20/49 and 14/18
20/49 + 14/18 is 523/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 18 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 49 × 18 = 882,
20/49 = 20 × 18/49 × 18 = 360/882 - Likewise, for the 2nd fraction, since 18 × 49 = 882,
14/18 = 14 × 49/18 × 49 = 686/882 - Add the two like fractions:
360/882 + 686/882 = 360 + 686/882 = 1046/882 - 1046/882 simplified gives 523/441
- So, 20/49 + 14/18 = 523/441
In mixed form: 182/441
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/49+14/18 20/49+28/18 20/98+14/18 20/49+14/36 60/49+14/18 20/49+42/18 20/49+14/54 20/49+70/18 20/49+14/90 20/49+98/18