Add 30/9 and 9/40
1st number: 3 3/9, 2nd number: 9/40
30/9 + 9/40 is 427/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 9 × 40 = 360,
30/9 = 30 × 40/9 × 40 = 1200/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
9/40 = 9 × 9/40 × 9 = 81/360 - Add the two like fractions:
1200/360 + 81/360 = 1200 + 81/360 = 1281/360 - 1281/360 simplified gives 427/120
- So, 30/9 + 9/40 = 427/120
In mixed form: 367/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/9+9/40 30/9+18/40 30/18+9/40 30/9+9/80 90/9+9/40 30/9+27/40 30/27+9/40 30/9+45/40 30/45+9/40 30/9+63/40 30/63+9/40