Convert the ratio 40: 25 in its simplest form.

Answer

To convert the ratio 40:25 into its simplest form, follow these steps:

### Step 1: Write the ratio
We start with the ratio given in the question:
\[ 40:25 \]

### Step 2: Identify the greatest common divisor (GCD)
To simplify the ratio, we need to find the greatest common divisor (GCD) of the two numbers, 40 and 25.

The factors of 40 are:
- 1, 2, 4, 5, 8, 10, 20, 40

The factors of 25 are:
- 1, 5, 25

The greatest common factor is:
- 5

### Step 3: Divide both numbers by the GCD
Now, we divide both parts of the ratio by the GCD (5):
\[ \frac{40}{5} : \frac{25}{5} \]

Calculating these gives:
\[ 8 : 5 \]

### Step 4: Write the simplest form
Thus, the simplest form of the ratio 40:25 is:
\[ 8:5 \]

### Final Answer
The simplest form of the ratio 40:25 is:
\[ 8:5 \]

---