Add 20/84 and 30/35
20/84 + 30/35 is 23/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
20/84 = 20 × 5/84 × 5 = 100/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
30/35 = 30 × 12/35 × 12 = 360/420 - Add the two like fractions:
100/420 + 360/420 = 100 + 360/420 = 460/420 - 460/420 simplified gives 23/21
- So, 20/84 + 30/35 = 23/21
In mixed form: 12/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/84+30/35 20/84+60/35 20/84+30/70 60/84+30/35 20/84+90/35