Add 10/12 and 20/45
10/12 + 20/45 is 23/18.
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,
20/45 = 20 × 4/45 × 4 = 80/180 - Add the two like fractions:
150/180 + 80/180 = 150 + 80/180 = 230/180 - 230/180 simplified gives 23/18
- So, 10/12 + 20/45 = 23/18
In mixed form: 15/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/12+20/45 10/12+40/45 10/24+20/45 10/12+20/90 30/12+20/45 10/12+60/45 10/36+20/45 50/12+20/45 10/60+20/45 70/12+20/45 10/84+20/45