Add 7/14 and 27/9, Solve 7/14 + 3 0/9 as a fraction

Add 7/14 and 27/9

1^st number: 7/14, 2^nd number: 3 0/9

7/14 + 27/9 is 7/2.

Find the least common denominator or LCM of the two denominators:
LCM of 14 and 9 is 126

Next, find the equivalent fraction of both fractional numbers with denominator 126
For the 1st fraction, since 14 × 9 = 126,
7/14 = 7 × 9/14 × 9 = 63/126
Likewise, for the 2nd fraction, since 9 × 14 = 126,
27/9 = 27 × 14/9 × 14 = 378/126
Add the two like fractions:
63/126 + 378/126 = 63 + 378/126 = 441/126
441/126 simplified gives 7/2
So, 7/14 + 27/9 = 7/2
In mixed form: 31/2

MathStep (Works offline)

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