Add 21/30 and 16/14
1st number: 21/30, 2nd number: 1 2/14
21/30 + 16/14 is 129/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
21/30 = 21 × 7/30 × 7 = 147/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
16/14 = 16 × 15/14 × 15 = 240/210 - Add the two like fractions:
147/210 + 240/210 = 147 + 240/210 = 387/210 - 387/210 simplified gives 129/70
- So, 21/30 + 16/14 = 129/70
In mixed form: 159/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/30+16/14 21/30+32/14 21/60+16/14 21/30+16/28 63/30+16/14 21/30+48/14 21/90+16/14 21/30+16/42 21/30+80/14 21/30+16/70 21/30+16/98