Add 45/60 and 21/40
45/60 + 21/40 is 51/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 60 × 2 = 120,
45/60 = 45 × 2/60 × 2 = 90/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
21/40 = 21 × 3/40 × 3 = 63/120 - Add the two like fractions:
90/120 + 63/120 = 90 + 63/120 = 153/120 - 153/120 simplified gives 51/40
- So, 45/60 + 21/40 = 51/40
In mixed form: 111/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/60+21/40 45/60+42/40 45/60+21/80 45/60+63/40