Add 42/84 and 75/27
1st number: 42/84, 2nd number: 2 21/27
42/84 + 75/27 is 59/18.
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,
42/84 = 42 × 9/84 × 9 = 378/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
75/27 = 75 × 28/27 × 28 = 2100/756 - Add the two like fractions:
378/756 + 2100/756 = 378 + 2100/756 = 2478/756 - 2478/756 simplified gives 59/18
- So, 42/84 + 75/27 = 59/18
In mixed form: 35/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/84+75/54 42/84+75/81