Add 30/9 and 10/40
1st number: 3 3/9, 2nd number: 10/40
30/9 + 10/40 is 43/12.
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,
10/40 = 10 × 9/40 × 9 = 90/360 - Add the two like fractions:
1200/360 + 90/360 = 1200 + 90/360 = 1290/360 - 1290/360 simplified gives 43/12
- So, 30/9 + 10/40 = 43/12
In mixed form: 37/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/9+10/40 30/9+20/40 30/18+10/40 30/9+10/80 90/9+10/40 30/9+30/40 30/27+10/40 30/9+50/40 30/45+10/40 30/9+70/40 30/63+10/40