Add 48/98 and 75/80, Solve 48/98 + 75/80 as a fraction

Add 48/98 and 75/80

48/98 + 75/80 is 1119/784.

Find the least common denominator or LCM of the two denominators:
LCM of 98 and 80 is 3920

Next, find the equivalent fraction of both fractional numbers with denominator 3920
For the 1st fraction, since 98 × 40 = 3920,
48/98 = 48 × 40/98 × 40 = 1920/3920
Likewise, for the 2nd fraction, since 80 × 49 = 3920,
75/80 = 75 × 49/80 × 49 = 3675/3920
Add the two like fractions:
1920/3920 + 3675/3920 = 1920 + 3675/3920 = 5595/3920
5595/3920 simplified gives 1119/784
So, 48/98 + 75/80 = 1119/784
In mixed form: 1335/784

MathStep (Works offline)

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