Add 21/35 and 21/6, Solve 21/35 + 3 3/6 as a fraction

Add 21/35 and 21/6

1^st number: 21/35, 2^nd number: 3 3/6

21/35 + 21/6 is 41/10.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 6 is 210

Next, find the equivalent fraction of both fractional numbers with denominator 210
For the 1st fraction, since 35 × 6 = 210,
21/35 = 21 × 6/35 × 6 = 126/210
Likewise, for the 2nd fraction, since 6 × 35 = 210,
21/6 = 21 × 35/6 × 35 = 735/210
Add the two like fractions:
126/210 + 735/210 = 126 + 735/210 = 861/210
861/210 simplified gives 41/10
So, 21/35 + 21/6 = 41/10
In mixed form: 41/10

MathStep (Works offline)

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