Add 30/14 and 16/30
1st number: 2 2/14, 2nd number: 16/30
30/14 + 16/30 is 281/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
30/14 = 30 × 15/14 × 15 = 450/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
16/30 = 16 × 7/30 × 7 = 112/210 - Add the two like fractions:
450/210 + 112/210 = 450 + 112/210 = 562/210 - 562/210 simplified gives 281/105
- So, 30/14 + 16/30 = 281/105
In mixed form: 271/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+16/30 30/14+32/30 30/28+16/30 30/14+16/60 90/14+16/30 30/14+48/30 30/42+16/30 30/14+16/90 30/14+80/30 30/70+16/30 30/98+16/30