Add 1/42 and 48/27
1st number: 1/42, 2nd number: 1 21/27
1/42 + 48/27 is 227/126.
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,
1/42 = 1 × 9/42 × 9 = 9/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
48/27 = 48 × 14/27 × 14 = 672/378 - Add the two like fractions:
9/378 + 672/378 = 9 + 672/378 = 681/378 - 681/378 simplified gives 227/126
- So, 1/42 + 48/27 = 227/126
In mixed form: 1101/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/42+48/27 1/42+96/27 1/84+48/27 1/42+48/54 3/42+48/27 1/42+48/81 5/42+48/27 7/42+48/27