Add 3/42 and 84/27
1st number: 3/42, 2nd number: 3 3/27
3/42 + 84/27 is 401/126.
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,
3/42 = 3 × 9/42 × 9 = 27/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
84/27 = 84 × 14/27 × 14 = 1176/378 - Add the two like fractions:
27/378 + 1176/378 = 27 + 1176/378 = 1203/378 - 1203/378 simplified gives 401/126
- So, 3/42 + 84/27 = 401/126
In mixed form: 323/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/42+84/27 3/84+84/27 3/42+84/54 9/42+84/27 3/42+84/81 15/42+84/27 21/42+84/27