Add 30/45 and 21/4
1st number: 30/45, 2nd number: 5 1/4
30/45 + 21/4 is 71/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 4 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
30/45 = 30 × 4/45 × 4 = 120/180 - Likewise, for the 2nd fraction, since 4 × 45 = 180,
21/4 = 21 × 45/4 × 45 = 945/180 - Add the two like fractions:
120/180 + 945/180 = 120 + 945/180 = 1065/180 - 1065/180 simplified gives 71/12
- So, 30/45 + 21/4 = 71/12
In mixed form: 511/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/45+21/4 30/45+42/4 30/90+21/4 30/45+21/8 90/45+21/4 30/45+63/4 30/45+21/12 30/45+21/20 30/45+21/28