Add 49/42 and 3/27, Solve 1 7/42 + 3/27 as a fraction

Add 49/42 and 3/27

1^st number: 1 7/42, 2^nd number: 3/27

49/42 + 3/27 is 23/18.

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

Next, find the equivalent fraction of both fractional numbers with denominator 378
For the 1st fraction, since 42 × 9 = 378,
49/42 = 49 × 9/42 × 9 = 441/378
Likewise, for the 2nd fraction, since 27 × 14 = 378,
3/27 = 3 × 14/27 × 14 = 42/378
Add the two like fractions:
441/378 + 42/378 = 441 + 42/378 = 483/378
483/378 simplified gives 23/18
So, 49/42 + 3/27 = 23/18
In mixed form: 15/18

MathStep (Works offline)

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