Add 10/12 and 21/45
10/12 + 21/45 is 13/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 45 is 180
Next, find the equivalent fraction of both fractional numbers with denominator 180 - For the 1st fraction, since 12 × 15 = 180,
10/12 = 10 × 15/12 × 15 = 150/180 - Likewise, for the 2nd fraction, since 45 × 4 = 180,
21/45 = 21 × 4/45 × 4 = 84/180 - Add the two like fractions:
150/180 + 84/180 = 150 + 84/180 = 234/180 - 234/180 simplified gives 13/10
- So, 10/12 + 21/45 = 13/10
In mixed form: 13/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/12+21/45 10/12+42/45 10/24+21/45 10/12+21/90 30/12+21/45 10/12+63/45 10/36+21/45 50/12+21/45 10/60+21/45 70/12+21/45 10/84+21/45