Add 10/45 and 8/12
10/45 + 8/12 is 8/9.
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,
8/12 = 8 × 15/12 × 15 = 120/180 - Add the two like fractions:
40/180 + 120/180 = 40 + 120/180 = 160/180 - 160/180 simplified gives 8/9
- So, 10/45 + 8/12 = 8/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/45+8/12 10/45+16/12 10/90+8/12 10/45+8/24 30/45+8/12 10/45+24/12 10/45+8/36 50/45+8/12 10/45+40/12 10/45+8/60 70/45+8/12 10/45+56/12 10/45+8/84