Add 27/70 and 75/12, Solve 27/70 + 6 3/12 as a fraction

Add 27/70 and 75/12

1^st number: 27/70, 2^nd number: 6 3/12

27/70 + 75/12 is 929/140.

Find the least common denominator or LCM of the two denominators:
LCM of 70 and 12 is 420

Next, find the equivalent fraction of both fractional numbers with denominator 420
For the 1st fraction, since 70 × 6 = 420,
27/70 = 27 × 6/70 × 6 = 162/420
Likewise, for the 2nd fraction, since 12 × 35 = 420,
75/12 = 75 × 35/12 × 35 = 2625/420
Add the two like fractions:
162/420 + 2625/420 = 162 + 2625/420 = 2787/420
2787/420 simplified gives 929/140
So, 27/70 + 75/12 = 929/140
In mixed form: 689/140

MathStep (Works offline)

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