Add 4/9 and 20/35
4/9 + 20/35 is 64/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 35 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 9 × 35 = 315,
4/9 = 4 × 35/9 × 35 = 140/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
20/35 = 20 × 9/35 × 9 = 180/315 - Add the two like fractions:
140/315 + 180/315 = 140 + 180/315 = 320/315 - 320/315 simplified gives 64/63
- So, 4/9 + 20/35 = 64/63
In mixed form: 11/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+20/35 4/9+40/35 4/18+20/35 4/9+20/70 12/9+20/35 4/9+60/35 4/27+20/35 20/9+20/35 4/45+20/35 28/9+20/35 4/63+20/35