Add 45/16 and 20/42, Solve 2 13/16 + 20/42 as a fraction

Add 45/16 and 20/42

1^st number: 2 13/16, 2^nd number: 20/42

45/16 + 20/42 is 1105/336.

Find the least common denominator or LCM of the two denominators:
LCM of 16 and 42 is 336

Next, find the equivalent fraction of both fractional numbers with denominator 336
For the 1st fraction, since 16 × 21 = 336,
45/16 = 45 × 21/16 × 21 = 945/336
Likewise, for the 2nd fraction, since 42 × 8 = 336,
20/42 = 20 × 8/42 × 8 = 160/336
Add the two like fractions:
945/336 + 160/336 = 945 + 160/336 = 1105/336
So, 45/16 + 20/42 = 1105/336
In mixed form: 397/336

MathStep (Works offline)

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