Add 20/30 and 40/7
1st number: 20/30, 2nd number: 5 5/7
20/30 + 40/7 is 134/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 7 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 7 × 30 = 210,
40/7 = 40 × 30/7 × 30 = 1200/210 - Add the two like fractions:
140/210 + 1200/210 = 140 + 1200/210 = 1340/210 - 1340/210 simplified gives 134/21
- So, 20/30 + 40/7 = 134/21
In mixed form: 68/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/30+40/7 20/30+80/7 20/60+40/7 20/30+40/14 60/30+40/7 20/90+40/7 20/30+40/21 20/30+40/35 20/30+40/49