Add 36/45 and 10/20
36/45 + 10/20 is 13/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 20 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 20 × 9 = 180,
10/20 = 10 × 9/20 × 9 = 90/180 - Add the two like fractions:
144/180 + 90/180 = 144 + 90/180 = 234/180 - 234/180 simplified gives 13/10
- So, 36/45 + 10/20 = 13/10
In mixed form: 13/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/45+10/20 36/90+10/20 36/45+10/40 36/45+30/20 36/45+10/60 36/45+50/20 36/45+70/20