Add 30/18 and 16/21
1st number: 1 12/18, 2nd number: 16/21
30/18 + 16/21 is 17/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
30/18 = 30 × 7/18 × 7 = 210/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
16/21 = 16 × 6/21 × 6 = 96/126 - Add the two like fractions:
210/126 + 96/126 = 210 + 96/126 = 306/126 - 306/126 simplified gives 17/7
- So, 30/18 + 16/21 = 17/7
In mixed form: 23/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/18+16/21 30/18+32/21 30/36+16/21 30/18+16/42 90/18+16/21 30/18+48/21 30/54+16/21 30/18+16/63 30/18+80/21 30/90+16/21