Add 6/27 and 42/49, Solve 6/27 + 42/49 as a fraction

Add 6/27 and 42/49

6/27 + 42/49 is 68/63.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323

Next, find the equivalent fraction of both fractional numbers with denominator 1323
For the 1st fraction, since 27 × 49 = 1323,
6/27 = 6 × 49/27 × 49 = 294/1323
Likewise, for the 2nd fraction, since 49 × 27 = 1323,
42/49 = 42 × 27/49 × 27 = 1134/1323
Add the two like fractions:
294/1323 + 1134/1323 = 294 + 1134/1323 = 1428/1323
1428/1323 simplified gives 68/63
So, 6/27 + 42/49 = 68/63
In mixed form: 15/63

MathStep (Works offline)

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