Add 20/30 and 42/45
20/30 + 42/45 is 8/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 45 is 90
Next, find the equivalent fraction of both fractional numbers with denominator 90 - For the 1st fraction, since 30 × 3 = 90,
20/30 = 20 × 3/30 × 3 = 60/90 - Likewise, for the 2nd fraction, since 45 × 2 = 90,
42/45 = 42 × 2/45 × 2 = 84/90 - Add the two like fractions:
60/90 + 84/90 = 60 + 84/90 = 144/90 - 144/90 simplified gives 8/5
- So, 20/30 + 42/45 = 8/5
In mixed form: 13/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/30+42/45 20/30+84/45 20/60+42/45 20/30+42/90 60/30+42/45 20/90+42/45