Add 7/2 and 30/21
1st number: 3 1/2, 2nd number: 1 9/21
7/2 + 30/21 is 69/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
7/2 = 7 × 21/2 × 21 = 147/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
30/21 = 30 × 2/21 × 2 = 60/42 - Add the two like fractions:
147/42 + 60/42 = 147 + 60/42 = 207/42 - 207/42 simplified gives 69/14
- So, 7/2 + 30/21 = 69/14
In mixed form: 413/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/2+30/21 7/2+60/21 7/4+30/21 7/2+30/42 21/2+30/21 7/2+90/21 7/6+30/21 7/2+30/63 35/2+30/21 7/10+30/21 49/2+30/21 7/14+30/21