Add 40/45 and 10/12
40/45 + 10/12 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,
40/45 = 40 × 4/45 × 4 = 160/180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
10/12 = 10 × 15/12 × 15 = 150/180 - Add the two like fractions:
160/180 + 150/180 = 160 + 150/180 = 310/180 - 310/180 simplified gives 31/18
- So, 40/45 + 10/12 = 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: 80/45+10/12 40/45+20/12 40/90+10/12 40/45+10/24 40/45+30/12 40/45+10/36 40/45+50/12 40/45+10/60 40/45+70/12 40/45+10/84