Add 10/30 and 40/50
10/30 + 40/50 is 17/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 50 is 150
Next, find the equivalent fraction of both fractional numbers with denominator 150 - For the 1st fraction, since 30 × 5 = 150,
10/30 = 10 × 5/30 × 5 = 50/150 - Likewise, for the 2nd fraction, since 50 × 3 = 150,
40/50 = 40 × 3/50 × 3 = 120/150 - Add the two like fractions:
50/150 + 120/150 = 50 + 120/150 = 170/150 - 170/150 simplified gives 17/15
- So, 10/30 + 40/50 = 17/15
In mixed form: 12/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+40/50 10/30+80/50 10/60+40/50 10/90+40/50 50/30+40/50 70/30+40/50