Add 14/30 and 8/9
14/30 + 8/9 is 61/45.
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,
8/9 = 8 × 10/9 × 10 = 80/90 - Add the two like fractions:
42/90 + 80/90 = 42 + 80/90 = 122/90 - 122/90 simplified gives 61/45
- So, 14/30 + 8/9 = 61/45
In mixed form: 116/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/30+8/9 14/30+16/9 14/60+8/9 14/30+8/18 42/30+8/9 14/30+24/9 14/90+8/9 14/30+8/27 70/30+8/9 14/30+40/9 14/30+8/45 98/30+8/9 14/30+56/9 14/30+8/63