Add 75/12 and 6/40, Solve 6 3/12 + 6/40 as a fraction

Add 75/12 and 6/40

1^st number: 6 3/12, 2^nd number: 6/40

75/12 + 6/40 is 32/5.

Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 12 × 10 = 120,
75/12 = 75 × 10/12 × 10 = 750/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
6/40 = 6 × 3/40 × 3 = 18/120
Add the two like fractions:
750/120 + 18/120 = 750 + 18/120 = 768/120
768/120 simplified gives 32/5
So, 75/12 + 6/40 = 32/5
In mixed form: 62/5

MathStep (Works offline)

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