Add 35/27 and 8/42, Solve 1 8/27 + 8/42 as a fraction

Add 35/27 and 8/42

1^st number: 1 8/27, 2^nd number: 8/42

35/27 + 8/42 is 281/189.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 27 × 14 = 378,
35/27 = 35 × 14/27 × 14 = 490/378
Likewise, for the 2nd fraction, since 42 × 9 = 378,
8/42 = 8 × 9/42 × 9 = 72/378
Add the two like fractions:
490/378 + 72/378 = 490 + 72/378 = 562/378
562/378 simplified gives 281/189
So, 35/27 + 8/42 = 281/189
In mixed form: 192/189

MathStep (Works offline)

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