Add 10/45 and 40/12
1st number: 10/45, 2nd number: 3 4/12
10/45 + 40/12 is 32/9.
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,
40/12 = 40 × 15/12 × 15 = 600/180 - Add the two like fractions:
40/180 + 600/180 = 40 + 600/180 = 640/180 - 640/180 simplified gives 32/9
- So, 10/45 + 40/12 = 32/9
In mixed form: 35/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45+40/12 10/45+80/12 10/90+40/12 10/45+40/24 30/45+40/12 10/45+40/36 50/45+40/12 10/45+40/60 70/45+40/12 10/45+40/84