Add 35/8 and 40/9
1st number: 4 3/8, 2nd number: 4 4/9
35/8 + 40/9 is 635/72.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 9 is 72
Next, find the equivalent fraction of both fractional numbers with denominator 72 - For the 1st fraction, since 8 × 9 = 72,
35/8 = 35 × 9/8 × 9 = 315/72 - Likewise, for the 2nd fraction, since 9 × 8 = 72,
40/9 = 40 × 8/9 × 8 = 320/72 - Add the two like fractions:
315/72 + 320/72 = 315 + 320/72 = 635/72 - So, 35/8 + 40/9 = 635/72
In mixed form: 859/72
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/8+40/9 35/8+80/9 35/16+40/9 35/8+40/18 35/24+40/9 35/8+40/27 35/40+40/9 35/8+40/45 35/56+40/9 35/8+40/63