Add 9/2 and 3/21, Solve 4 1/2 + 3/21 as a fraction

Add 9/2 and 3/21

1^st number: 4 1/2, 2^nd number: 3/21

9/2 + 3/21 is 65/14.

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,
9/2 = 9 × 21/2 × 21 = 189/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
3/21 = 3 × 2/21 × 2 = 6/42
Add the two like fractions:
189/42 + 6/42 = 189 + 6/42 = 195/42
195/42 simplified gives 65/14
So, 9/2 + 3/21 = 65/14
In mixed form: 49/14

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad