Add 45/48 and 30/40
45/48 + 30/40 is 27/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 48 and 40 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 48 × 5 = 240,
45/48 = 45 × 5/48 × 5 = 225/240 - Likewise, for the 2nd fraction, since 40 × 6 = 240,
30/40 = 30 × 6/40 × 6 = 180/240 - Add the two like fractions:
225/240 + 180/240 = 225 + 180/240 = 405/240 - 405/240 simplified gives 27/16
- So, 45/48 + 30/40 = 27/16
In mixed form: 111/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/48+30/40 45/48+60/40 45/96+30/40 45/48+30/80 45/48+90/40