Find the ratio of 25 to 40.

Answer

To find the ratio of 25 to 40, we can follow these steps:

### Step 1: Write the ratio in fraction form
We start by expressing the ratio of 25 to 40 as a fraction:
\[ \text{Ratio} = \frac{25}{40} \]

### Step 2: Simplify the fraction
Next, we need to simplify the fraction \(\frac{25}{40}\). To do this, we find the greatest common divisor (GCD) of the numerator (25) and the denominator (40).

### Step 3: Find the GCD
The GCD of 25 and 40 is 5. We can find this by listing the factors:
- Factors of 25: 1, 5, 25
- Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

The highest common factor is 5.

### Step 4: Divide both the numerator and the denominator by the GCD
Now, we divide both the numerator and the denominator by their GCD:
\[ \frac{25 \div 5}{40 \div 5} = \frac{5}{8} \]

### Step 5: Write the ratio in simplest form
Thus, the ratio of 25 to 40 in simplest form is:
\[ 5 : 8 \]

### Final Answer
The ratio of 25 to 40 is \(5 : 8\).

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