Add 80/42 and 21/36, Solve 1 38/42 + 21/36 as a fraction

Add 80/42 and 21/36

1^st number: 1 38/42, 2^nd number: 21/36

80/42 + 21/36 is 209/84.

Find the least common denominator or LCM of the two denominators:
LCM of 42 and 36 is 252

Next, find the equivalent fraction of both fractional numbers with denominator 252
For the 1st fraction, since 42 × 6 = 252,
80/42 = 80 × 6/42 × 6 = 480/252
Likewise, for the 2nd fraction, since 36 × 7 = 252,
21/36 = 21 × 7/36 × 7 = 147/252
Add the two like fractions:
480/252 + 147/252 = 480 + 147/252 = 627/252
627/252 simplified gives 209/84
So, 80/42 + 21/36 = 209/84
In mixed form: 241/84

MathStep (Works offline)

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