Add 49/4 and 30/24, Solve 12 1/4 + 1 6/24 as a fraction

Add 49/4 and 30/24

1^st number: 12 1/4, 2^nd number: 1 6/24

49/4 + 30/24 is 27/2.

Find the least common denominator or LCM of the two denominators:
LCM of 4 and 24 is 24

Next, find the equivalent fraction of both fractional numbers with denominator 24
For the 1st fraction, since 4 × 6 = 24,
49/4 = 49 × 6/4 × 6 = 294/24
Likewise, for the 2nd fraction, since 24 × 1 = 24,
30/24 = 30 × 1/24 × 1 = 30/24
Add the two like fractions:
294/24 + 30/24 = 294 + 30/24 = 324/24
324/24 simplified gives 27/2
So, 49/4 + 30/24 = 27/2
In mixed form: 131/2

MathStep (Works offline)

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