Add 45/42 and 20/27
1st number: 1 3/42, 2nd number: 20/27
45/42 + 20/27 is 685/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
20/27 = 20 × 14/27 × 14 = 280/378 - Add the two like fractions:
405/378 + 280/378 = 405 + 280/378 = 685/378 - So, 45/42 + 20/27 = 685/378
In mixed form: 1307/378
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/42+20/27 45/42+40/27 45/84+20/27 45/42+20/54 45/42+60/27 45/42+20/81