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

Add 35/21 and 14/27

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

35/21 + 14/27 is 59/27.

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

Next, find the equivalent fraction of both fractional numbers with denominator 189
For the 1st fraction, since 21 × 9 = 189,
35/21 = 35 × 9/21 × 9 = 315/189
Likewise, for the 2nd fraction, since 27 × 7 = 189,
14/27 = 14 × 7/27 × 7 = 98/189
Add the two like fractions:
315/189 + 98/189 = 315 + 98/189 = 413/189
413/189 simplified gives 59/27
So, 35/21 + 14/27 = 59/27
In mixed form: 25/27

MathStep (Works offline)

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