Add 12/14 and 75/42, Solve 12/14 + 1 33/42 as a fraction

Add 12/14 and 75/42

1^st number: 12/14, 2^nd number: 1 33/42

12/14 + 75/42 is 37/14.

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

Next, find the equivalent fraction of both fractional numbers with denominator 42
For the 1st fraction, since 14 × 3 = 42,
12/14 = 12 × 3/14 × 3 = 36/42
Likewise, for the 2nd fraction, since 42 × 1 = 42,
75/42 = 75 × 1/42 × 1 = 75/42
Add the two like fractions:
36/42 + 75/42 = 36 + 75/42 = 111/42
111/42 simplified gives 37/14
So, 12/14 + 75/42 = 37/14
In mixed form: 29/14

MathStep (Works offline)

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