Add 7/21 and 27/5, Solve 7/21 + 5 2/5 as a fraction

Add 7/21 and 27/5

1^st number: 7/21, 2^nd number: 5 2/5

7/21 + 27/5 is 86/15.

Find the least common denominator or LCM of the two denominators:
LCM of 21 and 5 is 105

Next, find the equivalent fraction of both fractional numbers with denominator 105
For the 1st fraction, since 21 × 5 = 105,
7/21 = 7 × 5/21 × 5 = 35/105
Likewise, for the 2nd fraction, since 5 × 21 = 105,
27/5 = 27 × 21/5 × 21 = 567/105
Add the two like fractions:
35/105 + 567/105 = 35 + 567/105 = 602/105
602/105 simplified gives 86/15
So, 7/21 + 27/5 = 86/15
In mixed form: 511/15

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad