Add 40/42 and 12/20
40/42 + 12/20 is 163/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 20 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 42 × 10 = 420,
40/42 = 40 × 10/42 × 10 = 400/420 - Likewise, for the 2nd fraction, since 20 × 21 = 420,
12/20 = 12 × 21/20 × 21 = 252/420 - Add the two like fractions:
400/420 + 252/420 = 400 + 252/420 = 652/420 - 652/420 simplified gives 163/105
- So, 40/42 + 12/20 = 163/105
In mixed form: 158/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+12/20 40/42+24/20 40/84+12/20 40/42+12/40 40/42+36/20 40/42+12/60 40/42+60/20 40/42+84/20