Add 16/35 and 8/9
16/35 + 8/9 is 424/315.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
16/35 = 16 × 9/35 × 9 = 144/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
8/9 = 8 × 35/9 × 35 = 280/315 - Add the two like fractions:
144/315 + 280/315 = 144 + 280/315 = 424/315 - So, 16/35 + 8/9 = 424/315
In mixed form: 1109/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/35+8/9 16/35+16/9 16/70+8/9 16/35+8/18 48/35+8/9 16/35+24/9 16/35+8/27 80/35+8/9 16/35+40/9 16/35+8/45 16/35+56/9 16/35+8/63