Add 20/35 and 45/54
20/35 + 45/54 is 59/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 54 is 1890
Next, find the equivalent fraction of both fractional numbers with denominator 1890 - For the 1st fraction, since 35 × 54 = 1890,
20/35 = 20 × 54/35 × 54 = 1080/1890 - Likewise, for the 2nd fraction, since 54 × 35 = 1890,
45/54 = 45 × 35/54 × 35 = 1575/1890 - Add the two like fractions:
1080/1890 + 1575/1890 = 1080 + 1575/1890 = 2655/1890 - 2655/1890 simplified gives 59/42
- So, 20/35 + 45/54 = 59/42
In mixed form: 117/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/35+45/54 20/35+90/54 20/70+45/54 60/35+45/54