Add 40/15 and 35/10, Solve 2 10/15 + 3 5/10 as a fraction

Add 40/15 and 35/10

1^st number: 2 10/15, 2^nd number: 3 5/10

40/15 + 35/10 is 37/6.

Find the least common denominator or LCM of the two denominators:
LCM of 15 and 10 is 30

Next, find the equivalent fraction of both fractional numbers with denominator 30
For the 1st fraction, since 15 × 2 = 30,
40/15 = 40 × 2/15 × 2 = 80/30
Likewise, for the 2nd fraction, since 10 × 3 = 30,
35/10 = 35 × 3/10 × 3 = 105/30
Add the two like fractions:
80/30 + 105/30 = 80 + 105/30 = 185/30
185/30 simplified gives 37/6
So, 40/15 + 35/10 = 37/6
In mixed form: 61/6

MathStep (Works offline)

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