Add 75/32 and 40/18
1st number: 2 11/32, 2nd number: 2 4/18
75/32 + 40/18 is 1315/288.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 18 is 288
Next, find the equivalent fraction of both fractional numbers with denominator 288 - For the 1st fraction, since 32 × 9 = 288,
75/32 = 75 × 9/32 × 9 = 675/288 - Likewise, for the 2nd fraction, since 18 × 16 = 288,
40/18 = 40 × 16/18 × 16 = 640/288 - Add the two like fractions:
675/288 + 640/288 = 675 + 640/288 = 1315/288 - So, 75/32 + 40/18 = 1315/288
In mixed form: 4163/288
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/32+80/18 75/64+40/18 75/32+40/36 75/96+40/18 75/32+40/54 75/32+40/90