Add 30/21 and 16/14
1st number: 1 9/21, 2nd number: 1 2/14
30/21 + 16/14 is 18/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
30/21 = 30 × 2/21 × 2 = 60/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
16/14 = 16 × 3/14 × 3 = 48/42 - Add the two like fractions:
60/42 + 48/42 = 60 + 48/42 = 108/42 - 108/42 simplified gives 18/7
- So, 30/21 + 16/14 = 18/7
In mixed form: 24/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/21+16/14 30/21+32/14 30/42+16/14 30/21+16/28 90/21+16/14 30/21+48/14 30/63+16/14 30/21+16/42 30/21+80/14 30/21+16/70 30/21+16/98