Add 40/6 and 12/40, Solve 6 4/6 + 12/40 as a fraction

Add 40/6 and 12/40

1^st number: 6 4/6, 2^nd number: 12/40

40/6 + 12/40 is 209/30.

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,
40/6 = 40 × 20/6 × 20 = 800/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
12/40 = 12 × 3/40 × 3 = 36/120
Add the two like fractions:
800/120 + 36/120 = 800 + 36/120 = 836/120
836/120 simplified gives 209/30
So, 40/6 + 12/40 = 209/30
In mixed form: 629/30

MathStep (Works offline)

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