Add 49/16 and 7/9, Solve 3 1/16 + 7/9 as a fraction

Add 49/16 and 7/9

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

49/16 + 7/9 is 553/144.

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

Next, find the equivalent fraction of both fractional numbers with denominator 144
For the 1st fraction, since 16 × 9 = 144,
49/16 = 49 × 9/16 × 9 = 441/144
Likewise, for the 2nd fraction, since 9 × 16 = 144,
7/9 = 7 × 16/9 × 16 = 112/144
Add the two like fractions:
441/144 + 112/144 = 441 + 112/144 = 553/144
So, 49/16 + 7/9 = 553/144
In mixed form: 3121/144

MathStep (Works offline)

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