Add 21/49 and 30/50
21/49 + 30/50 is 36/35.
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,
21/49 = 21 × 50/49 × 50 = 1050/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
30/50 = 30 × 49/50 × 49 = 1470/2450 - Add the two like fractions:
1050/2450 + 1470/2450 = 1050 + 1470/2450 = 2520/2450 - 2520/2450 simplified gives 36/35
- So, 21/49 + 30/50 = 36/35
In mixed form: 11/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/49+30/50 21/49+60/50 21/98+30/50 63/49+30/50 21/49+90/50