Add 4/5 and 35/49
4/5 + 35/49 is 53/35.
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,
4/5 = 4 × 49/5 × 49 = 196/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
35/49 = 35 × 5/49 × 5 = 175/245 - Add the two like fractions:
196/245 + 175/245 = 196 + 175/245 = 371/245 - 371/245 simplified gives 53/35
- So, 4/5 + 35/49 = 53/35
In mixed form: 118/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/5+35/49 4/5+70/49 4/10+35/49 4/5+35/98 12/5+35/49 4/15+35/49 20/5+35/49 4/25+35/49 28/5+35/49 4/35+35/49