Add 27/42 and 45/21
1st number: 27/42, 2nd number: 2 3/21
27/42 + 45/21 is 39/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 42 × 1 = 42,
27/42 = 27 × 1/42 × 1 = 27/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
45/21 = 45 × 2/21 × 2 = 90/42 - Add the two like fractions:
27/42 + 90/42 = 27 + 90/42 = 117/42 - 117/42 simplified gives 39/14
- So, 27/42 + 45/21 = 39/14
In mixed form: 211/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/42+45/21 27/42+90/21 27/84+45/21 27/42+45/42 81/42+45/21 27/42+45/63