Add 5/3 and 14/49, Solve 1 2/3 + 14/49 as a fraction

Add 5/3 and 14/49

1^st number: 1 2/3, 2^nd number: 14/49

5/3 + 14/49 is 41/21.

Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147

Next, find the equivalent fraction of both fractional numbers with denominator 147
For the 1st fraction, since 3 × 49 = 147,
5/3 = 5 × 49/3 × 49 = 245/147
Likewise, for the 2nd fraction, since 49 × 3 = 147,
14/49 = 14 × 3/49 × 3 = 42/147
Add the two like fractions:
245/147 + 42/147 = 245 + 42/147 = 287/147
287/147 simplified gives 41/21
So, 5/3 + 14/49 = 41/21
In mixed form: 120/21

MathStep (Works offline)

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