Add 49/98 and 30/35
49/98 + 30/35 is 19/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 35 is 490
Next, find the equivalent fraction of both fractional numbers with denominator 490 - For the 1st fraction, since 98 × 5 = 490,
49/98 = 49 × 5/98 × 5 = 245/490 - Likewise, for the 2nd fraction, since 35 × 14 = 490,
30/35 = 30 × 14/35 × 14 = 420/490 - Add the two like fractions:
245/490 + 420/490 = 245 + 420/490 = 665/490 - 665/490 simplified gives 19/14
- So, 49/98 + 30/35 = 19/14
In mixed form: 15/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 49/98+60/35 49/98+30/70 49/98+90/35