Add 30/45 and 16/18
30/45 + 16/18 is 14/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 18 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 45 × 2 = 90,
30/45 = 30 × 2/45 × 2 = 60/90 - Likewise, for the 2nd fraction, since 18 × 5 = 90,
16/18 = 16 × 5/18 × 5 = 80/90 - Add the two like fractions:
60/90 + 80/90 = 60 + 80/90 = 140/90 - 140/90 simplified gives 14/9
- So, 30/45 + 16/18 = 14/9
In mixed form: 15/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/45+16/18 30/45+32/18 30/90+16/18 30/45+16/36 90/45+16/18 30/45+48/18 30/45+16/54 30/45+80/18 30/45+16/90