Add 40/60 and 30/75
40/60 + 30/75 is 16/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 60 and 75 is 300
Next, find the equivalent fraction of both fractional numbers with denominator 300 - For the 1st fraction, since 60 × 5 = 300,
40/60 = 40 × 5/60 × 5 = 200/300 - Likewise, for the 2nd fraction, since 75 × 4 = 300,
30/75 = 30 × 4/75 × 4 = 120/300 - Add the two like fractions:
200/300 + 120/300 = 200 + 120/300 = 320/300 - 320/300 simplified gives 16/15
- So, 40/60 + 30/75 = 16/15
In mixed form: 11/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/60+30/75 40/60+60/75 40/60+90/75