Add 4/9 and 16/30
4/9 + 16/30 is 44/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 30 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 9 × 10 = 90,
4/9 = 4 × 10/9 × 10 = 40/90 - Likewise, for the 2nd fraction, since 30 × 3 = 90,
16/30 = 16 × 3/30 × 3 = 48/90 - Add the two like fractions:
40/90 + 48/90 = 40 + 48/90 = 88/90 - 88/90 simplified gives 44/45
- So, 4/9 + 16/30 = 44/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+16/30 4/9+32/30 4/18+16/30 4/9+16/60 12/9+16/30 4/9+48/30 4/27+16/30 4/9+16/90 20/9+16/30 4/9+80/30 4/45+16/30 28/9+16/30 4/63+16/30