Add 20/32 and 30/45
20/32 + 30/45 is 31/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 32 and 45 is 1440
Next, find the equivalent fraction of both fractional numbers with denominator 1440 - For the 1st fraction, since 32 × 45 = 1440,
20/32 = 20 × 45/32 × 45 = 900/1440 - Likewise, for the 2nd fraction, since 45 × 32 = 1440,
30/45 = 30 × 32/45 × 32 = 960/1440 - Add the two like fractions:
900/1440 + 960/1440 = 900 + 960/1440 = 1860/1440 - 1860/1440 simplified gives 31/24
- So, 20/32 + 30/45 = 31/24
In mixed form: 17/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/32+30/45 20/32+60/45 20/64+30/45 20/32+30/90 60/32+30/45 20/32+90/45 20/96+30/45