Add 36/45 and 8/12
36/45 + 8/12 is 22/15.
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,
36/45 = 36 × 4/45 × 4 = 144/180 - Likewise, for the 2nd fraction, since 12 × 15 = 180,
8/12 = 8 × 15/12 × 15 = 120/180 - Add the two like fractions:
144/180 + 120/180 = 144 + 120/180 = 264/180 - 264/180 simplified gives 22/15
- So, 36/45 + 8/12 = 22/15
In mixed form: 17/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/45+8/12 36/45+16/12 36/90+8/12 36/45+8/24 36/45+24/12 36/45+8/36 36/45+40/12 36/45+8/60 36/45+56/12 36/45+8/84