Add 9/40 and 75/12, Solve 9/40 + 6 3/12 as a fraction

Add 9/40 and 75/12

1^st number: 9/40, 2^nd number: 6 3/12

9/40 + 75/12 is 259/40.

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

Next, find the equivalent fraction of both fractional numbers with denominator 120
For the 1st fraction, since 40 × 3 = 120,
9/40 = 9 × 3/40 × 3 = 27/120
Likewise, for the 2nd fraction, since 12 × 10 = 120,
75/12 = 75 × 10/12 × 10 = 750/120
Add the two like fractions:
27/120 + 750/120 = 27 + 750/120 = 777/120
777/120 simplified gives 259/40
So, 9/40 + 75/12 = 259/40
In mixed form: 619/40

MathStep (Works offline)

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