Add 1/42 and 63/36, Solve 1/42 + 1 27/36 as a fraction

Add 1/42 and 63/36

1^st number: 1/42, 2^nd number: 1 27/36

1/42 + 63/36 is 149/84.

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,
1/42 = 1 × 6/42 × 6 = 6/252
Likewise, for the 2nd fraction, since 36 × 7 = 252,
63/36 = 63 × 7/36 × 7 = 441/252
Add the two like fractions:
6/252 + 441/252 = 6 + 441/252 = 447/252
447/252 simplified gives 149/84
So, 1/42 + 63/36 = 149/84
In mixed form: 165/84

MathStep (Works offline)

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