Add 10/30 and 28/40
10/30 + 28/40 is 31/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
10/30 = 10 × 4/30 × 4 = 40/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
28/40 = 28 × 3/40 × 3 = 84/120 - Add the two like fractions:
40/120 + 84/120 = 40 + 84/120 = 124/120 - 124/120 simplified gives 31/30
- So, 10/30 + 28/40 = 31/30
In mixed form: 11/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/30+28/40 10/30+56/40 10/60+28/40 10/30+28/80 10/30+84/40 10/90+28/40 50/30+28/40 70/30+28/40