Add 50/3 and 18/14, Solve 16 2/3 + 1 4/14 as a fraction

Add 50/3 and 18/14

1^st number: 16 2/3, 2^nd number: 1 4/14

50/3 + 18/14 is 377/21.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 3 × 14 = 42,
50/3 = 50 × 14/3 × 14 = 700/42
Likewise, for the 2nd fraction, since 14 × 3 = 42,
18/14 = 18 × 3/14 × 3 = 54/42
Add the two like fractions:
700/42 + 54/42 = 700 + 54/42 = 754/42
754/42 simplified gives 377/21
So, 50/3 + 18/14 = 377/21
In mixed form: 1720/21

MathStep (Works offline)

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