Add 27/5 and 42/21
1st number: 5 2/5, 2nd number: 2 0/21
27/5 + 42/21 is 37/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
27/5 = 27 × 21/5 × 21 = 567/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
42/21 = 42 × 5/21 × 5 = 210/105 - Add the two like fractions:
567/105 + 210/105 = 567 + 210/105 = 777/105 - 777/105 simplified gives 37/5
- So, 27/5 + 42/21 = 37/5
In mixed form: 72/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/5+42/21 27/5+84/21 27/10+42/21 81/5+42/21 27/15+42/21 27/5+42/63 27/25+42/21 27/35+42/21