Add 36/72 and 42/28, Solve 36/72 + 1 14/28 as a fraction

Add 36/72 and 42/28

1^st number: 36/72, 2^nd number: 1 14/28

36/72 + 42/28 is 2/1.

Find the least common denominator or LCM of the two denominators:
LCM of 72 and 28 is 504

Next, find the equivalent fraction of both fractional numbers with denominator 504
For the 1st fraction, since 72 × 7 = 504,
36/72 = 36 × 7/72 × 7 = 252/504
Likewise, for the 2nd fraction, since 28 × 18 = 504,
42/28 = 42 × 18/28 × 18 = 756/504
Add the two like fractions:
252/504 + 756/504 = 252 + 756/504 = 1008/504
1008/504 simplified gives 2/1
So, 36/72 + 42/28 = 2/1

MathStep (Works offline)

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