Add 40/9 and 75/32
1st number: 4 4/9, 2nd number: 2 11/32
40/9 + 75/32 is 1955/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 32 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 9 × 32 = 288,
40/9 = 40 × 32/9 × 32 = 1280/288 - Likewise, for the 2nd fraction, since 32 × 9 = 288,
75/32 = 75 × 9/32 × 9 = 675/288 - Add the two like fractions:
1280/288 + 675/288 = 1280 + 675/288 = 1955/288 - So, 40/9 + 75/32 = 1955/288
In mixed form: 6227/288
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+75/32 40/18+75/32 40/9+75/64 40/27+75/32 40/9+75/96 40/45+75/32 40/63+75/32