Add 40/35 and 35/8
1st number: 1 5/35, 2nd number: 4 3/8
40/35 + 35/8 is 309/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 8 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
40/35 = 40 × 8/35 × 8 = 320/280 - Likewise, for the 2nd fraction, since 8 × 35 = 280,
35/8 = 35 × 35/8 × 35 = 1225/280 - Add the two like fractions:
320/280 + 1225/280 = 320 + 1225/280 = 1545/280 - 1545/280 simplified gives 309/56
- So, 40/35 + 35/8 = 309/56
In mixed form: 529/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/35+35/8 40/35+70/8 40/70+35/8 40/35+35/16 40/35+35/24 40/35+35/40 40/35+35/56