Add 16/24 and 49/12, Solve 16/24 + 4 1/12 as a fraction

Add 16/24 and 49/12

1^st number: 16/24, 2^nd number: 4 1/12

16/24 + 49/12 is 19/4.

Find the least common denominator or LCM of the two denominators:
LCM of 24 and 12 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24
For the 1st fraction, since 24 × 1 = 24,
16/24 = 16 × 1/24 × 1 = 16/24
Likewise, for the 2nd fraction, since 12 × 2 = 24,
49/12 = 49 × 2/12 × 2 = 98/24
Add the two like fractions:
16/24 + 98/24 = 16 + 98/24 = 114/24
114/24 simplified gives 19/4
So, 16/24 + 49/12 = 19/4
In mixed form: 43/4

MathStep (Works offline)

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