Express each of the ratio in its simplest form :
80:620`

Answer

To express the ratio 80:620 in its simplest form, follow these steps:

### Step 1: Write down the ratio
We start with the ratio:
\[ 80:620 \]

### Step 2: Identify common factors
To simplify the ratio, we need to find the greatest common divisor (GCD) of both numbers.

### Step 3: Cancel out common zeros
Both numbers have a zero at the end. We can cancel the zeros:
\[ 80:620 \rightarrow 8:62 \]

### Step 4: Find the GCD of the new numbers
Now we need to simplify the ratio 8:62. We can find the GCD of 8 and 62. The factors of 8 are 1, 2, 4, 8 and the factors of 62 are 1, 2, 31, 62. The common factor is 2.

### Step 5: Divide both numbers by the GCD
Now, we divide both numbers by their GCD, which is 2:
\[ \frac{8}{2} : \frac{62}{2} = 4:31 \]

### Step 6: Check for further simplification
Now we check if 4 and 31 have any common factors. Since 31 is a prime number and does not divide 4, we cannot simplify further.

### Final Result
Thus, the simplest form of the ratio 80:620 is:
\[ 4:31 \]

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