Add 75/40 and 4/9
1st number: 1 35/40, 2nd number: 4/9
75/40 + 4/9 is 167/72.
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,
4/9 = 4 × 40/9 × 40 = 160/360 - Add the two like fractions:
675/360 + 160/360 = 675 + 160/360 = 835/360 - 835/360 simplified gives 167/72
- So, 75/40 + 4/9 = 167/72
In mixed form: 223/72
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+8/9 75/80+4/9 75/40+4/18 75/40+12/9 75/40+4/27 75/40+20/9 75/40+4/45 75/40+28/9 75/40+4/63