Add 27/6 and 28/40, Solve 4 3/6 + 28/40 as a fraction

Add 27/6 and 28/40

1^st number: 4 3/6, 2^nd number: 28/40

27/6 + 28/40 is 26/5.

Find the least common denominator or LCM of the two denominators:
LCM of 6 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 6 × 20 = 120,
27/6 = 27 × 20/6 × 20 = 540/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
28/40 = 28 × 3/40 × 3 = 84/120
Add the two like fractions:
540/120 + 84/120 = 540 + 84/120 = 624/120
624/120 simplified gives 26/5
So, 27/6 + 28/40 = 26/5
In mixed form: 51/5

MathStep (Works offline)

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