Add 54/27 and 35/21, Solve 2 0/27 + 1 14/21 as a fraction

Add 54/27 and 35/21

1^st number: 2 0/27, 2^nd number: 1 14/21

54/27 + 35/21 is 11/3.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 27 × 7 = 189,
54/27 = 54 × 7/27 × 7 = 378/189
Likewise, for the 2nd fraction, since 21 × 9 = 189,
35/21 = 35 × 9/21 × 9 = 315/189
Add the two like fractions:
378/189 + 315/189 = 378 + 315/189 = 693/189
693/189 simplified gives 11/3
So, 54/27 + 35/21 = 11/3
In mixed form: 32/3

MathStep (Works offline)

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