Add 16/18 and 28/35, Solve 16/18 + 28/35 as a fraction

Add 16/18 and 28/35

16/18 + 28/35 is 76/45.

Find the least common denominator or LCM of the two denominators:
LCM of 18 and 35 is 630

Next, find the equivalent fraction of both fractional numbers with denominator 630
For the 1st fraction, since 18 × 35 = 630,
16/18 = 16 × 35/18 × 35 = 560/630
Likewise, for the 2nd fraction, since 35 × 18 = 630,
28/35 = 28 × 18/35 × 18 = 504/630
Add the two like fractions:
560/630 + 504/630 = 560 + 504/630 = 1064/630
1064/630 simplified gives 76/45
So, 16/18 + 28/35 = 76/45
In mixed form: 131/45

MathStep (Works offline)

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