Add 10/35 and 40/9
1st number: 10/35, 2nd number: 4 4/9
10/35 + 40/9 is 298/63.
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,
10/35 = 10 × 9/35 × 9 = 90/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
40/9 = 40 × 35/9 × 35 = 1400/315 - Add the two like fractions:
90/315 + 1400/315 = 90 + 1400/315 = 1490/315 - 1490/315 simplified gives 298/63
- So, 10/35 + 40/9 = 298/63
In mixed form: 446/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/35+40/9 10/35+80/9 10/70+40/9 10/35+40/18 30/35+40/9 10/35+40/27 50/35+40/9 10/35+40/45 70/35+40/9 10/35+40/63