Add 20/3 and 35/63, Solve 6 2/3 + 35/63 as a fraction

Add 20/3 and 35/63

1^st number: 6 2/3, 2^nd number: 35/63

20/3 + 35/63 is 65/9.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 63 is 63

Next, find the equivalent fraction of both fractional numbers with denominator 63
For the 1st fraction, since 3 × 21 = 63,
20/3 = 20 × 21/3 × 21 = 420/63
Likewise, for the 2nd fraction, since 63 × 1 = 63,
35/63 = 35 × 1/63 × 1 = 35/63
Add the two like fractions:
420/63 + 35/63 = 420 + 35/63 = 455/63
455/63 simplified gives 65/9
So, 20/3 + 35/63 = 65/9
In mixed form: 72/9

MathStep (Works offline)

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