Add 20/42 and 40/54
20/42 + 40/54 is 230/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
20/42 = 20 × 9/42 × 9 = 180/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
40/54 = 40 × 7/54 × 7 = 280/378 - Add the two like fractions:
180/378 + 280/378 = 180 + 280/378 = 460/378 - 460/378 simplified gives 230/189
- So, 20/42 + 40/54 = 230/189
In mixed form: 141/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/42+40/54 20/42+80/54 20/84+40/54 60/42+40/54