Add 14/84 and 42/27
1st number: 14/84, 2nd number: 1 15/27
14/84 + 42/27 is 31/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 84 × 9 = 756,
14/84 = 14 × 9/84 × 9 = 126/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
42/27 = 42 × 28/27 × 28 = 1176/756 - Add the two like fractions:
126/756 + 1176/756 = 126 + 1176/756 = 1302/756 - 1302/756 simplified gives 31/18
- So, 14/84 + 42/27 = 31/18
In mixed form: 113/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/84+42/27 14/84+84/27 14/84+42/54 42/84+42/27 14/84+42/81 70/84+42/27 98/84+42/27