Add 45/14 and 30/21
1st number: 3 3/14, 2nd number: 1 9/21
45/14 + 30/21 is 65/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
45/14 = 45 × 3/14 × 3 = 135/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
30/21 = 30 × 2/21 × 2 = 60/42 - Add the two like fractions:
135/42 + 60/42 = 135 + 60/42 = 195/42 - 195/42 simplified gives 65/14
- So, 45/14 + 30/21 = 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
Related: 90/14+30/21 45/14+60/21 45/28+30/21 45/14+30/42 45/14+90/21 45/42+30/21 45/14+30/63 45/70+30/21 45/98+30/21