Add 24/45 and 21/35
24/45 + 21/35 is 17/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
24/45 = 24 × 7/45 × 7 = 168/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
21/35 = 21 × 9/35 × 9 = 189/315 - Add the two like fractions:
168/315 + 189/315 = 168 + 189/315 = 357/315 - 357/315 simplified gives 17/15
- So, 24/45 + 21/35 = 17/15
In mixed form: 12/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 48/45+21/35 24/45+42/35 24/90+21/35 24/45+21/70 72/45+21/35 24/45+63/35