Add 7/49 and 25/24, Solve 7/49 + 1 1/24 as a fraction

Add 7/49 and 25/24

1^st number: 7/49, 2^nd number: 1 1/24

7/49 + 25/24 is 199/168.

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,
7/49 = 7 × 24/49 × 24 = 168/1176
Likewise, for the 2nd fraction, since 24 × 49 = 1176,
25/24 = 25 × 49/24 × 49 = 1225/1176
Add the two like fractions:
168/1176 + 1225/1176 = 168 + 1225/1176 = 1393/1176
1393/1176 simplified gives 199/168
So, 7/49 + 25/24 = 199/168
In mixed form: 131/168

MathStep (Works offline)

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