Add 45/14 and 30/3, Solve 3 3/14 + 10 0/3 as a fraction

Add 45/14 and 30/3

1^st number: 3 3/14, 2^nd number: 10 0/3

45/14 + 30/3 is 185/14.

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,
45/14 = 45 × 3/14 × 3 = 135/42
Likewise, for the 2nd fraction, since 3 × 14 = 42,
30/3 = 30 × 14/3 × 14 = 420/42
Add the two like fractions:
135/42 + 420/42 = 135 + 420/42 = 555/42
555/42 simplified gives 185/14
So, 45/14 + 30/3 = 185/14
In mixed form: 133/14

MathStep (Works offline)

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