Add 14/49 and 35/70
14/49 + 35/70 is 11/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 70 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 49 × 10 = 490,
14/49 = 14 × 10/49 × 10 = 140/490 - Likewise, for the 2nd fraction, since 70 × 7 = 490,
35/70 = 35 × 7/70 × 7 = 245/490 - Add the two like fractions:
140/490 + 245/490 = 140 + 245/490 = 385/490 - 385/490 simplified gives 11/14
- So, 14/49 + 35/70 = 11/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/49+35/70 14/98+35/70 42/49+35/70 70/49+35/70 98/49+35/70