Add 30/14 and 8/3
1st number: 2 2/14, 2nd number: 2 2/3
30/14 + 8/3 is 101/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 3 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
30/14 = 30 × 3/14 × 3 = 90/42 - Likewise, for the 2nd fraction, since 3 × 14 = 42,
8/3 = 8 × 14/3 × 14 = 112/42 - Add the two like fractions:
90/42 + 112/42 = 90 + 112/42 = 202/42 - 202/42 simplified gives 101/21
- So, 30/14 + 8/3 = 101/21
In mixed form: 417/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+8/3 30/14+16/3 30/28+8/3 30/14+8/6 90/14+8/3 30/14+24/3 30/42+8/3 30/14+8/9 30/14+40/3 30/70+8/3 30/14+8/15 30/14+56/3 30/98+8/3 30/14+8/21