Add 40/9 and 32/35
1st number: 4 4/9, 2nd number: 32/35
40/9 + 32/35 is 1688/315.
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,
40/9 = 40 × 35/9 × 35 = 1400/315 - Likewise, for the 2nd fraction, since 35 × 9 = 315,
32/35 = 32 × 9/35 × 9 = 288/315 - Add the two like fractions:
1400/315 + 288/315 = 1400 + 288/315 = 1688/315 - So, 40/9 + 32/35 = 1688/315
In mixed form: 5113/315
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+32/35 40/9+64/35 40/18+32/35 40/9+32/70 40/9+96/35 40/27+32/35 40/45+32/35 40/63+32/35