Add 27/24 and 42/36, Solve 1 3/24 + 1 6/36 as a fraction

Add 27/24 and 42/36

1^st number: 1 3/24, 2^nd number: 1 6/36

27/24 + 42/36 is 55/24.

Find the least common denominator or LCM of the two denominators:
LCM of 24 and 36 is 72

Next, find the equivalent fraction of both fractional numbers with denominator 72
For the 1st fraction, since 24 × 3 = 72,
27/24 = 27 × 3/24 × 3 = 81/72
Likewise, for the 2nd fraction, since 36 × 2 = 72,
42/36 = 42 × 2/36 × 2 = 84/72
Add the two like fractions:
81/72 + 84/72 = 81 + 84/72 = 165/72
165/72 simplified gives 55/24
So, 27/24 + 42/36 = 55/24
In mixed form: 27/24

MathStep (Works offline)

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