Add 36/14 and 5/21, Solve 2 8/14 + 5/21 as a fraction

Add 36/14 and 5/21

1^st number: 2 8/14, 2^nd number: 5/21

36/14 + 5/21 is 59/21.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
36/14 = 36 × 3/14 × 3 = 108/42
Likewise, for the 2nd fraction, since 21 × 2 = 42,
5/21 = 5 × 2/21 × 2 = 10/42
Add the two like fractions:
108/42 + 10/42 = 108 + 10/42 = 118/42
118/42 simplified gives 59/21
So, 36/14 + 5/21 = 59/21
In mixed form: 217/21

MathStep (Works offline)

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