Add 45/50 and 14/49
45/50 + 14/49 is 83/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 50 and 49 is 2450
Next, find the equivalent fraction of both fractional numbers with denominator 2450 - For the 1st fraction, since 50 × 49 = 2450,
45/50 = 45 × 49/50 × 49 = 2205/2450 - Likewise, for the 2nd fraction, since 49 × 50 = 2450,
14/49 = 14 × 50/49 × 50 = 700/2450 - Add the two like fractions:
2205/2450 + 700/2450 = 2205 + 700/2450 = 2905/2450 - 2905/2450 simplified gives 83/70
- So, 45/50 + 14/49 = 83/70
In mixed form: 113/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/50+14/49 45/50+28/49 45/50+14/98 45/50+42/49 45/50+70/49 45/50+98/49