Add 49/14 and 8/3, Solve 3 7/14 + 2 2/3 as a fraction

Add 49/14 and 8/3

1^st number: 3 7/14, 2^nd number: 2 2/3

49/14 + 8/3 is 37/6.

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,
49/14 = 49 × 3/14 × 3 = 147/42
Likewise, for the 2nd fraction, since 3 × 14 = 42,
8/3 = 8 × 14/3 × 14 = 112/42
Add the two like fractions:
147/42 + 112/42 = 147 + 112/42 = 259/42
259/42 simplified gives 37/6
So, 49/14 + 8/3 = 37/6
In mixed form: 61/6

MathStep (Works offline)

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