Add 75/84 and 20/35
75/84 + 20/35 is 41/28.
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,
75/84 = 75 × 5/84 × 5 = 375/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
20/35 = 20 × 12/35 × 12 = 240/420 - Add the two like fractions:
375/420 + 240/420 = 375 + 240/420 = 615/420 - 615/420 simplified gives 41/28
- So, 75/84 + 20/35 = 41/28
In mixed form: 113/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/84+40/35 75/84+20/70 75/84+60/35