Add 45/75 and 30/90
45/75 + 30/90 is 14/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 90 is 450
Next, find the equivalent fraction of both fractional numbers with denominator 450 - For the 1st fraction, since 75 × 6 = 450,
45/75 = 45 × 6/75 × 6 = 270/450 - Likewise, for the 2nd fraction, since 90 × 5 = 450,
30/90 = 30 × 5/90 × 5 = 150/450 - Add the two like fractions:
270/450 + 150/450 = 270 + 150/450 = 420/450 - 420/450 simplified gives 14/15
- So, 45/75 + 30/90 = 14/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/75+30/90 45/75+60/90