Add 30/35 and 15/40
30/35 + 15/40 is 69/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 35 × 8 = 280,
30/35 = 30 × 8/35 × 8 = 240/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
15/40 = 15 × 7/40 × 7 = 105/280 - Add the two like fractions:
240/280 + 105/280 = 240 + 105/280 = 345/280 - 345/280 simplified gives 69/56
- So, 30/35 + 15/40 = 69/56
In mixed form: 113/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/35+15/40 30/35+30/40 30/70+15/40 30/35+15/80 90/35+15/40 30/35+45/40 30/35+75/40