Add 18/75 and 30/16, Solve 18/75 + 1 14/16 as a fraction

Add 18/75 and 30/16

1^st number: 18/75, 2^nd number: 1 14/16

18/75 + 30/16 is 423/200.

Find the least common denominator or LCM of the two denominators:
LCM of 75 and 16 is 1200

Next, find the equivalent fraction of both fractional numbers with denominator 1200
For the 1st fraction, since 75 × 16 = 1200,
18/75 = 18 × 16/75 × 16 = 288/1200
Likewise, for the 2nd fraction, since 16 × 75 = 1200,
30/16 = 30 × 75/16 × 75 = 2250/1200
Add the two like fractions:
288/1200 + 2250/1200 = 288 + 2250/1200 = 2538/1200
2538/1200 simplified gives 423/200
So, 18/75 + 30/16 = 423/200
In mixed form: 223/200

MathStep (Works offline)

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