Add 32/9 and 75/20
1st number: 3 5/9, 2nd number: 3 15/20
32/9 + 75/20 is 263/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 20 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 9 × 20 = 180,
32/9 = 32 × 20/9 × 20 = 640/180 - Likewise, for the 2nd fraction, since 20 × 9 = 180,
75/20 = 75 × 9/20 × 9 = 675/180 - Add the two like fractions:
640/180 + 675/180 = 640 + 675/180 = 1315/180 - 1315/180 simplified gives 263/36
- So, 32/9 + 75/20 = 263/36
In mixed form: 711/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 64/9+75/20 32/18+75/20 32/9+75/40 96/9+75/20 32/27+75/20 32/9+75/60 32/45+75/20 32/63+75/20