Add 20/45 and 35/54
20/45 + 35/54 is 59/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 54 is 270
Next, find the equivalent fraction of both fractional numbers with denominator 270 - For the 1st fraction, since 45 × 6 = 270,
20/45 = 20 × 6/45 × 6 = 120/270 - Likewise, for the 2nd fraction, since 54 × 5 = 270,
35/54 = 35 × 5/54 × 5 = 175/270 - Add the two like fractions:
120/270 + 175/270 = 120 + 175/270 = 295/270 - 295/270 simplified gives 59/54
- So, 20/45 + 35/54 = 59/54
In mixed form: 15/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/45+35/54 20/45+70/54 20/90+35/54 60/45+35/54