Add 75/40 and 30/9
1st number: 1 35/40, 2nd number: 3 3/9
75/40 + 30/9 is 125/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 9 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
75/40 = 75 × 9/40 × 9 = 675/360 - Likewise, for the 2nd fraction, since 9 × 40 = 360,
30/9 = 30 × 40/9 × 40 = 1200/360 - Add the two like fractions:
675/360 + 1200/360 = 675 + 1200/360 = 1875/360 - 1875/360 simplified gives 125/24
- So, 75/40 + 30/9 = 125/24
In mixed form: 55/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+60/9 75/80+30/9 75/40+30/18 75/40+90/9 75/40+30/27 75/40+30/45 75/40+30/63