Add 40/3 and 21/63, Solve 13 1/3 + 21/63 as a fraction

Add 40/3 and 21/63

1^st number: 13 1/3, 2^nd number: 21/63

40/3 + 21/63 is 41/3.

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,
40/3 = 40 × 21/3 × 21 = 840/63
Likewise, for the 2nd fraction, since 63 × 1 = 63,
21/63 = 21 × 1/63 × 1 = 21/63
Add the two like fractions:
840/63 + 21/63 = 840 + 21/63 = 861/63
861/63 simplified gives 41/3
So, 40/3 + 21/63 = 41/3
In mixed form: 132/3

MathStep (Works offline)

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