Add 4/14 and 49/3, Solve 4/14 + 16 1/3 as a fraction

Add 4/14 and 49/3

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

4/14 + 49/3 is 349/21.

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

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
4/14 = 4 × 3/14 × 3 = 12/42
Likewise, for the 2nd fraction, since 3 × 14 = 42,
49/3 = 49 × 14/3 × 14 = 686/42
Add the two like fractions:
12/42 + 686/42 = 12 + 686/42 = 698/42
698/42 simplified gives 349/21
So, 4/14 + 49/3 = 349/21
In mixed form: 1613/21

MathStep (Works offline)

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