Add 35/24 and 21/45
1st number: 1 11/24, 2nd number: 21/45
35/24 + 21/45 is 77/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 24 × 15 = 360,
35/24 = 35 × 15/24 × 15 = 525/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
21/45 = 21 × 8/45 × 8 = 168/360 - Add the two like fractions:
525/360 + 168/360 = 525 + 168/360 = 693/360 - 693/360 simplified gives 77/40
- So, 35/24 + 21/45 = 77/40
In mixed form: 137/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/24+21/45 35/24+42/45 35/48+21/45 35/24+21/90 35/24+63/45 35/72+21/45