Add 30/90 and 27/40
30/90 + 27/40 is 121/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 90 and 40 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 90 × 4 = 360,
30/90 = 30 × 4/90 × 4 = 120/360 - Likewise, for the 2nd fraction, since 40 × 9 = 360,
27/40 = 27 × 9/40 × 9 = 243/360 - Add the two like fractions:
120/360 + 243/360 = 120 + 243/360 = 363/360 - 363/360 simplified gives 121/120
- So, 30/90 + 27/40 = 121/120
In mixed form: 11/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/90+27/40 30/90+54/40 30/90+27/80 30/90+81/40