Add 40/30 and 35/12, Solve 1 10/30 + 2 11/12 as a fraction

Add 40/30 and 35/12

1^st number: 1 10/30, 2^nd number: 2 11/12

40/30 + 35/12 is 17/4.

Find the least common denominator or LCM of the two denominators:
LCM of 30 and 12 is 60

Next, find the equivalent fraction of both fractional numbers with denominator 60
For the 1st fraction, since 30 × 2 = 60,
40/30 = 40 × 2/30 × 2 = 80/60
Likewise, for the 2nd fraction, since 12 × 5 = 60,
35/12 = 35 × 5/12 × 5 = 175/60
Add the two like fractions:
80/60 + 175/60 = 80 + 175/60 = 255/60
255/60 simplified gives 17/4
So, 40/30 + 35/12 = 17/4
In mixed form: 41/4

MathStep (Works offline)

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