Add 14/20 and 30/49
14/20 + 30/49 is 643/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 49 is 980
Next, find the equivalent fraction of both fractional numbers with denominator 980 - For the 1st fraction, since 20 × 49 = 980,
14/20 = 14 × 49/20 × 49 = 686/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
30/49 = 30 × 20/49 × 20 = 600/980 - Add the two like fractions:
686/980 + 600/980 = 686 + 600/980 = 1286/980 - 1286/980 simplified gives 643/490
- So, 14/20 + 30/49 = 643/490
In mixed form: 1153/490
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/20+30/49 14/20+60/49 14/40+30/49 14/20+30/98 42/20+30/49 14/20+90/49 14/60+30/49 70/20+30/49 98/20+30/49