Add 25/49 and 28/24, Solve 25/49 + 1 4/24 as a fraction

Add 25/49 and 28/24

1^st number: 25/49, 2^nd number: 1 4/24

25/49 + 28/24 is 493/294.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 24 is 1176

Next, find the equivalent fraction of both fractional numbers with denominator 1176
For the 1st fraction, since 49 × 24 = 1176,
25/49 = 25 × 24/49 × 24 = 600/1176
Likewise, for the 2nd fraction, since 24 × 49 = 1176,
28/24 = 28 × 49/24 × 49 = 1372/1176
Add the two like fractions:
600/1176 + 1372/1176 = 600 + 1372/1176 = 1972/1176
1972/1176 simplified gives 493/294
So, 25/49 + 28/24 = 493/294
In mixed form: 1199/294

MathStep (Works offline)

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