Add 8/3 and 63/42, Solve 2 2/3 + 1 21/42 as a fraction

Add 8/3 and 63/42

1^st number: 2 2/3, 2^nd number: 1 21/42

8/3 + 63/42 is 25/6.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 42 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 3 × 14 = 42,
8/3 = 8 × 14/3 × 14 = 112/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
63/42 = 63 × 1/42 × 1 = 63/42
Add the two like fractions:
112/42 + 63/42 = 112 + 63/42 = 175/42
175/42 simplified gives 25/6
So, 8/3 + 63/42 = 25/6
In mixed form: 41/6

MathStep (Works offline)

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