Add 20/30 and 30/42
20/30 + 30/42 is 29/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
20/30 = 20 × 7/30 × 7 = 140/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
30/42 = 30 × 5/42 × 5 = 150/210 - Add the two like fractions:
140/210 + 150/210 = 140 + 150/210 = 290/210 - 290/210 simplified gives 29/21
- So, 20/30 + 30/42 = 29/21
In mixed form: 18/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/30+30/42 20/30+60/42 20/60+30/42 20/30+30/84 60/30+30/42 20/30+90/42 20/90+30/42