Add 20/49 and 30/40
20/49 + 30/40 is 227/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 40 is 1960
Next, find the equivalent fraction of both fractional numbers with denominator 1960 - For the 1st fraction, since 49 × 40 = 1960,
20/49 = 20 × 40/49 × 40 = 800/1960 - Likewise, for the 2nd fraction, since 40 × 49 = 1960,
30/40 = 30 × 49/40 × 49 = 1470/1960 - Add the two like fractions:
800/1960 + 1470/1960 = 800 + 1470/1960 = 2270/1960 - 2270/1960 simplified gives 227/196
- So, 20/49 + 30/40 = 227/196
In mixed form: 131/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/49+30/40 20/49+60/40 20/98+30/40 20/49+30/80 60/49+30/40 20/49+90/40