Add 14/30 and 16/9
1st number: 14/30, 2nd number: 1 7/9
14/30 + 16/9 is 101/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 9 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
14/30 = 14 × 3/30 × 3 = 42/90 - Likewise, for the 2nd fraction, since 9 × 10 = 90,
16/9 = 16 × 10/9 × 10 = 160/90 - Add the two like fractions:
42/90 + 160/90 = 42 + 160/90 = 202/90 - 202/90 simplified gives 101/45
- So, 14/30 + 16/9 = 101/45
In mixed form: 211/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/30+16/9 14/30+32/9 14/60+16/9 14/30+16/18 42/30+16/9 14/30+48/9 14/90+16/9 14/30+16/27 70/30+16/9 14/30+80/9 14/30+16/45 98/30+16/9 14/30+16/63