Add 14/35 and 49/18
1st number: 14/35, 2nd number: 2 13/18
14/35 + 49/18 is 281/90.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 18 is 630
Next, find the equivalent fraction of both fractional numbers with denominator 630 - For the 1st fraction, since 35 × 18 = 630,
14/35 = 14 × 18/35 × 18 = 252/630 - Likewise, for the 2nd fraction, since 18 × 35 = 630,
49/18 = 49 × 35/18 × 35 = 1715/630 - Add the two like fractions:
252/630 + 1715/630 = 252 + 1715/630 = 1967/630 - 1967/630 simplified gives 281/90
- So, 14/35 + 49/18 = 281/90
In mixed form: 311/90
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/35+49/18 14/35+98/18 14/70+49/18 14/35+49/36 42/35+49/18 14/35+49/54 70/35+49/18 14/35+49/90 98/35+49/18