Add 20/49 and 40/50
20/49 + 40/50 is 296/245.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 50 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 49 × 50 = 2450,
20/49 = 20 × 50/49 × 50 = 1000/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
40/50 = 40 × 49/50 × 49 = 1960/2450 - Add the two like fractions:
1000/2450 + 1960/2450 = 1000 + 1960/2450 = 2960/2450 - 2960/2450 simplified gives 296/245
- So, 20/49 + 40/50 = 296/245
In mixed form: 151/245
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/49+40/50 20/49+80/50 20/98+40/50 60/49+40/50