Add 30/24 and 16/9
1st number: 1 6/24, 2nd number: 1 7/9
30/24 + 16/9 is 109/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 24 × 3 = 72,
30/24 = 30 × 3/24 × 3 = 90/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
16/9 = 16 × 8/9 × 8 = 128/72 - Add the two like fractions:
90/72 + 128/72 = 90 + 128/72 = 218/72 - 218/72 simplified gives 109/36
- So, 30/24 + 16/9 = 109/36
In mixed form: 31/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/24+16/9 30/24+32/9 30/48+16/9 30/24+16/18 90/24+16/9 30/24+48/9 30/72+16/9 30/24+16/27 30/24+80/9 30/24+16/45 30/24+16/63