Add 14/5 and 7/49
1st number: 2 4/5, 2nd number: 7/49
14/5 + 7/49 is 103/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 5 × 49 = 245,
14/5 = 14 × 49/5 × 49 = 686/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
7/49 = 7 × 5/49 × 5 = 35/245 - Add the two like fractions:
686/245 + 35/245 = 686 + 35/245 = 721/245 - 721/245 simplified gives 103/35
- So, 14/5 + 7/49 = 103/35
In mixed form: 233/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/5+7/49 14/5+14/49 14/10+7/49 14/5+7/98 42/5+7/49 14/5+21/49 14/15+7/49 70/5+7/49 14/5+35/49 14/25+7/49 98/5+7/49 14/35+7/49