Add 12/20 and 40/84
12/20 + 40/84 is 113/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 20 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 20 × 21 = 420,
12/20 = 12 × 21/20 × 21 = 252/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
40/84 = 40 × 5/84 × 5 = 200/420 - Add the two like fractions:
252/420 + 200/420 = 252 + 200/420 = 452/420 - 452/420 simplified gives 113/105
- So, 12/20 + 40/84 = 113/105
In mixed form: 18/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/20+40/84 12/20+80/84 12/40+40/84 36/20+40/84 12/60+40/84 60/20+40/84 84/20+40/84