Add 3/4 and 21/45
3/4 + 21/45 is 73/60.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 4 × 45 = 180,
3/4 = 3 × 45/4 × 45 = 135/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
21/45 = 21 × 4/45 × 4 = 84/180 - Add the two like fractions:
135/180 + 84/180 = 135 + 84/180 = 219/180 - 219/180 simplified gives 73/60
- So, 3/4 + 21/45 = 73/60
In mixed form: 113/60
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/4+21/45 3/4+42/45 3/8+21/45 3/4+21/90 9/4+21/45 3/4+63/45 3/12+21/45 15/4+21/45 3/20+21/45 21/4+21/45 3/28+21/45