Add 25/9 and 35/16, Solve 2 7/9 + 2 3/16 as a fraction

Add 25/9 and 35/16

1^st number: 2 7/9, 2^nd number: 2 3/16

25/9 + 35/16 is 715/144.

Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144

Next, find the equivalent fraction of both fractional numbers with denominator 144
For the 1st fraction, since 9 × 16 = 144,
25/9 = 25 × 16/9 × 16 = 400/144
Likewise, for the 2nd fraction, since 16 × 9 = 144,
35/16 = 35 × 9/16 × 9 = 315/144
Add the two like fractions:
400/144 + 315/144 = 400 + 315/144 = 715/144
So, 25/9 + 35/16 = 715/144
In mixed form: 4139/144

MathStep (Works offline)

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