Add 14/49 and 42/50
14/49 + 42/50 is 197/175.
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,
14/49 = 14 × 50/49 × 50 = 700/2450 - Likewise, for the 2nd fraction, since 50 × 49 = 2450,
42/50 = 42 × 49/50 × 49 = 2058/2450 - Add the two like fractions:
700/2450 + 2058/2450 = 700 + 2058/2450 = 2758/2450 - 2758/2450 simplified gives 197/175
- So, 14/49 + 42/50 = 197/175
In mixed form: 122/175
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+42/50 14/49+84/50 14/98+42/50 42/49+42/50 70/49+42/50 98/49+42/50