Add 48/75 and 49/48, Solve 48/75 + 1 1/48 as a fraction

Add 48/75 and 49/48

1^st number: 48/75, 2^nd number: 1 1/48

48/75 + 49/48 is 1993/1200.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 48 is 1200

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 75 × 16 = 1200,
48/75 = 48 × 16/75 × 16 = 768/1200
Likewise, for the 2nd fraction, since 48 × 25 = 1200,
49/48 = 49 × 25/48 × 25 = 1225/1200
Add the two like fractions:
768/1200 + 1225/1200 = 768 + 1225/1200 = 1993/1200
So, 48/75 + 49/48 = 1993/1200
In mixed form: 1793/1200

MathStep (Works offline)

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