Add 14/30 and 16/7
1st number: 14/30, 2nd number: 2 2/7
14/30 + 16/7 is 289/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
14/30 = 14 × 7/30 × 7 = 98/210 - Likewise, for the 2nd fraction, since 7 × 30 = 210,
16/7 = 16 × 30/7 × 30 = 480/210 - Add the two like fractions:
98/210 + 480/210 = 98 + 480/210 = 578/210 - 578/210 simplified gives 289/105
- So, 14/30 + 16/7 = 289/105
In mixed form: 279/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/30+16/7 14/30+32/7 14/60+16/7 14/30+16/14 42/30+16/7 14/30+48/7 14/90+16/7 14/30+16/21 70/30+16/7 14/30+80/7 14/30+16/35 98/30+16/7 14/30+16/49