Add 30/48 and 30/75
30/48 + 30/75 is 41/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 75 is 1200
Next, find the equivalent fraction of both fractional numbers with denominator 1200 - For the 1st fraction, since 48 × 25 = 1200,
30/48 = 30 × 25/48 × 25 = 750/1200 - Likewise, for the 2nd fraction, since 75 × 16 = 1200,
30/75 = 30 × 16/75 × 16 = 480/1200 - Add the two like fractions:
750/1200 + 480/1200 = 750 + 480/1200 = 1230/1200 - 1230/1200 simplified gives 41/40
- So, 30/48 + 30/75 = 41/40
In mixed form: 11/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/48+30/75 30/48+60/75 30/96+30/75 90/48+30/75 30/48+90/75