Express each of the following as a per cent :
`5 : 8`

Answer

To express the ratio \(5 : 8\) as a percentage, follow these steps:

### Step 1: Convert the ratio to a fraction
The ratio \(5 : 8\) can be expressed as a fraction:
\[ \frac{5}{8} \]

### Step 2: Convert the fraction to a percentage
To convert a fraction to a percentage, multiply the fraction by \(100\):
\[ \frac{5}{8} \times 100 \]

### Step 3: Perform the multiplication
Calculate \(5 \times 100\):
\[ 5 \times 100 = 500 \]
Now, divide \(500\) by \(8\):
\[ \frac{500}{8} \]

### Step 4: Simplify the division
Now, perform the division:
\[ 500 \div 8 = 62.5 \]

### Step 5: Write the final answer
Thus, the ratio \(5 : 8\) expressed as a percentage is:
\[ 62.5\% \]

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