Add 40/6 and 21/45
1st number: 6 4/6, 2nd number: 21/45
40/6 + 21/45 is 107/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 6 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 6 × 15 = 90,
40/6 = 40 × 15/6 × 15 = 600/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
21/45 = 21 × 2/45 × 2 = 42/90 - Add the two like fractions:
600/90 + 42/90 = 600 + 42/90 = 642/90 - 642/90 simplified gives 107/15
- So, 40/6 + 21/45 = 107/15
In mixed form: 72/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/6+21/45 40/6+42/45 40/12+21/45 40/6+21/90 40/6+63/45 40/18+21/45 40/30+21/45 40/42+21/45