Add 20/40 and 30/45
20/40 + 30/45 is 7/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 45 is 360
Next, find the equivalent fraction of both fractional numbers with denominator 360 - For the 1st fraction, since 40 × 9 = 360,
20/40 = 20 × 9/40 × 9 = 180/360 - Likewise, for the 2nd fraction, since 45 × 8 = 360,
30/45 = 30 × 8/45 × 8 = 240/360 - Add the two like fractions:
180/360 + 240/360 = 180 + 240/360 = 420/360 - 420/360 simplified gives 7/6
- So, 20/40 + 30/45 = 7/6
In mixed form: 11/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40+60/45 20/80+30/45 20/40+30/90 60/40+30/45 20/40+90/45