Add 28/49 and 75/8, Solve 28/49 + 9 3/8 as a fraction

Add 28/49 and 75/8

1^st number: 28/49, 2^nd number: 9 3/8

28/49 + 75/8 is 557/56.

Find the least common denominator or LCM of the two denominators:
LCM of 49 and 8 is 392

Next, find the equivalent fraction of both fractional numbers with denominator 392
For the 1st fraction, since 49 × 8 = 392,
28/49 = 28 × 8/49 × 8 = 224/392
Likewise, for the 2nd fraction, since 8 × 49 = 392,
75/8 = 75 × 49/8 × 49 = 3675/392
Add the two like fractions:
224/392 + 3675/392 = 224 + 3675/392 = 3899/392
3899/392 simplified gives 557/56
So, 28/49 + 75/8 = 557/56
In mixed form: 953/56

MathStep (Works offline)

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