The image shows the numbers "24/32".
Let's simplify the fraction 24/32:
1. **Find the greatest common divisor (GCD) of 24 and 32.**
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 32 are: 1, 2, 4, 8, 16, 32
The greatest common divisor (GCD) of 24 and 32 is 8.
2. **Divide both the numerator and the denominator by the GCD.**
\(\frac{24}{32} = \frac{24 \div 8}{32 \div 8} = \frac{3}{4}\)
**Answer:** \(\frac{3}{4}\)
**Explanation for students:**
Imagine you have a pizza cut into 32 slices and you want to take 24 of those slices. You could also cut the pizza into fewer, but larger slices. By simplifying the fraction, you are finding the smallest number of slices that gives you the same proportion.
We found that the greatest number that can divide both 24 and 32 evenly is 8. Dividing both the top and bottom numbers (numerator and denominator) by 8, we get 3/4. So 24 out of 32 slices is the same as 3 out of 4 slices.