In a college, out of 4320 students, 2300 are girls. Find the ratio of
Number of girls to the total number of students.

Answer

To find the ratio of the number of girls to the total number of students in the college, we can follow these steps:

### Step 1: Identify the given values
- Total number of girls = 2300
- Total number of students = 4320

### Step 2: Write the ratio
The ratio of the number of girls to the total number of students can be expressed as:
\[ \text{Ratio} = \frac{\text{Number of girls}}{\text{Total number of students}} = \frac{2300}{4320} \]

### Step 3: Simplify the fraction
To simplify the fraction \(\frac{2300}{4320}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD).

1. First, we can cancel the zeros at the end:
\[ \frac{2300}{4320} = \frac{230}{432} \]

2. Next, we can simplify \(\frac{230}{432}\) by finding the GCD of 230 and 432. The GCD is 2.
\[ \frac{230 \div 2}{432 \div 2} = \frac{115}{216} \]

### Step 4: Write the final ratio
Now, we can express the simplified fraction as a ratio:
\[ \text{Ratio of girls to total students} = 115 : 216 \]

### Final Answer
The ratio of the number of girls to the total number of students is \(115 : 216\).

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