The number of boys and girls in a school are 576 and 480 respectively. Express the ratio of the number of boys to that of girls in the simplest form.

Answer

To express the ratio of the number of boys to the number of girls in the simplest form, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Numbers**:
- Number of boys = 576
- Number of girls = 480

2. **Write the Ratio**:
- The ratio of boys to girls can be written as:
\[ \text{Ratio} = \frac{\text{Number of Boys}}{\text{Number of Girls}} = \frac{576}{480} \]

3. **Simplify the Fraction**:
- To simplify \(\frac{576}{480}\), we need to find the greatest common divisor (GCD) of 576 and 480. We can start by dividing both numbers by 2:
\[ \frac{576 \div 2}{480 \div 2} = \frac{288}{240} \]
- We can continue simplifying:
\[ \frac{288 \div 2}{240 \div 2} = \frac{144}{120} \]
\[ \frac{144 \div 2}{120 \div 2} = \frac{72}{60} \]
\[ \frac{72 \div 2}{60 \div 2} = \frac{36}{30} \]
\[ \frac{36 \div 6}{30 \div 6} = \frac{6}{5} \]

4. **Final Ratio**:
- The simplest form of the ratio of boys to girls is:
\[ \text{Ratio} = 6 : 5 \]