Add 28/35 and 45/16, Solve 28/35 + 2 13/16 as a fraction

Add 28/35 and 45/16

1^st number: 28/35, 2^nd number: 2 13/16

28/35 + 45/16 is 289/80.

Find the least common denominator or LCM of the two denominators:
LCM of 35 and 16 is 560

Next, find the equivalent fraction of both fractional numbers with denominator 560
For the 1st fraction, since 35 × 16 = 560,
28/35 = 28 × 16/35 × 16 = 448/560
Likewise, for the 2nd fraction, since 16 × 35 = 560,
45/16 = 45 × 35/16 × 35 = 1575/560
Add the two like fractions:
448/560 + 1575/560 = 448 + 1575/560 = 2023/560
2023/560 simplified gives 289/80
So, 28/35 + 45/16 = 289/80
In mixed form: 349/80

MathStep (Works offline)

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