Add 35/6 and 30/40, Solve 5 5/6 + 30/40 as a fraction

Add 35/6 and 30/40

1^st number: 5 5/6, 2^nd number: 30/40

35/6 + 30/40 is 79/12.

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,
35/6 = 35 × 20/6 × 20 = 700/120
Likewise, for the 2nd fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120
Add the two like fractions:
700/120 + 90/120 = 700 + 90/120 = 790/120
790/120 simplified gives 79/12
So, 35/6 + 30/40 = 79/12
In mixed form: 67/12

MathStep (Works offline)

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