Add 30/32 and 45/18
1st number: 30/32, 2nd number: 2 9/18
30/32 + 45/18 is 55/16.
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,
30/32 = 30 × 9/32 × 9 = 270/288 - Likewise, for the 2nd fraction, since 18 × 16 = 288,
45/18 = 45 × 16/18 × 16 = 720/288 - Add the two like fractions:
270/288 + 720/288 = 270 + 720/288 = 990/288 - 990/288 simplified gives 55/16
- So, 30/32 + 45/18 = 55/16
In mixed form: 37/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/32+45/18 30/32+90/18 30/64+45/18 30/32+45/36 90/32+45/18 30/96+45/18 30/32+45/54 30/32+45/90