Add 1/27 and 40/6, Solve 1/27 + 6 4/6 as a fraction

Add 1/27 and 40/6

1^st number: 1/27, 2^nd number: 6 4/6

1/27 + 40/6 is 181/27.

Find the least common denominator or LCM of the two denominators:
LCM of 27 and 6 is 54

Next, find the equivalent fraction of both fractional numbers with denominator 54
For the 1st fraction, since 27 × 2 = 54,
1/27 = 1 × 2/27 × 2 = 2/54
Likewise, for the 2nd fraction, since 6 × 9 = 54,
40/6 = 40 × 9/6 × 9 = 360/54
Add the two like fractions:
2/54 + 360/54 = 2 + 360/54 = 362/54
362/54 simplified gives 181/27
So, 1/27 + 40/6 = 181/27
In mixed form: 619/27

MathStep (Works offline)

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