Add 10/45 and 18/12
1st number: 10/45, 2nd number: 1 6/12
10/45 + 18/12 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 12 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 45 × 4 = 180,
10/45 = 10 × 4/45 × 4 = 40/180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
18/12 = 18 × 15/12 × 15 = 270/180 - Add the two like fractions:
40/180 + 270/180 = 40 + 270/180 = 310/180 - 310/180 simplified gives 31/18
- So, 10/45 + 18/12 = 31/18
In mixed form: 113/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45+18/12 10/45+36/12 10/90+18/12 10/45+18/24 30/45+18/12 10/45+54/12 10/45+18/36 50/45+18/12 10/45+90/12 10/45+18/60 70/45+18/12 10/45+18/84