Add 45/75 and 20/32
45/75 + 20/32 is 49/40.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 32 is 2400
Next, find the equivalent fraction of both fractional numbers with denominator 2400 - For the 1st fraction, since 75 × 32 = 2400,
45/75 = 45 × 32/75 × 32 = 1440/2400 - Likewise, for the 2nd fraction, since 32 × 75 = 2400,
20/32 = 20 × 75/32 × 75 = 1500/2400 - Add the two like fractions:
1440/2400 + 1500/2400 = 1440 + 1500/2400 = 2940/2400 - 2940/2400 simplified gives 49/40
- So, 45/75 + 20/32 = 49/40
In mixed form: 19/40
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/75+20/32 45/75+40/32 45/75+20/64 45/75+60/32 45/75+20/96