Add 10/12 and 27/7, Solve 10/12 + 3 6/7 as a fraction

Add 10/12 and 27/7

1^st number: 10/12, 2^nd number: 3 6/7

10/12 + 27/7 is 197/42.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 7 is 84

Next, find the equivalent fraction of both fractional numbers with denominator 84
For the 1st fraction, since 12 × 7 = 84,
10/12 = 10 × 7/12 × 7 = 70/84
Likewise, for the 2nd fraction, since 7 × 12 = 84,
27/7 = 27 × 12/7 × 12 = 324/84
Add the two like fractions:
70/84 + 324/84 = 70 + 324/84 = 394/84
394/84 simplified gives 197/42
So, 10/12 + 27/7 = 197/42
In mixed form: 429/42

MathStep (Works offline)

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