Add 7/20 and 40/49
7/20 + 40/49 is 1143/980.
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,
7/20 = 7 × 49/20 × 49 = 343/980 - Likewise, for the 2nd fraction, since 49 × 20 = 980,
40/49 = 40 × 20/49 × 20 = 800/980 - Add the two like fractions:
343/980 + 800/980 = 343 + 800/980 = 1143/980 - So, 7/20 + 40/49 = 1143/980
In mixed form: 1163/980
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/20+40/49 7/20+80/49 7/40+40/49 7/20+40/98 21/20+40/49 7/60+40/49 35/20+40/49 49/20+40/49