Add 40/45 and 35/60
40/45 + 35/60 is 53/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 60 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 60 × 3 = 180,
35/60 = 35 × 3/60 × 3 = 105/180 - Add the two like fractions:
160/180 + 105/180 = 160 + 105/180 = 265/180 - 265/180 simplified gives 53/36
- So, 40/45 + 35/60 = 53/36
In mixed form: 117/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+35/60 40/45+70/60 40/90+35/60