Express each of the following as a ratio :
`7.5%`

Answer

To express `7.5%` as a ratio, follow these steps:

### Step 1: Convert the percentage to a fraction
A percentage can be expressed as a fraction by placing the percentage value over 100. Therefore, we can write:
\[ 7.5\% = \frac{7.5}{100} \]

### Step 2: Simplify the fraction
To simplify the fraction \(\frac{7.5}{100}\), we can multiply both the numerator and the denominator by 10 to eliminate the decimal:
\[ \frac{7.5 \times 10}{100 \times 10} = \frac{75}{1000} \]

### Step 3: Reduce the fraction to its simplest form
Next, we need to simplify \(\frac{75}{1000}\). We can divide both the numerator and the denominator by 25:
\[ \frac{75 \div 25}{1000 \div 25} = \frac{3}{40} \]

### Step 4: Write the fraction as a ratio
Now that we have the fraction \(\frac{3}{40}\), we can express it as a ratio:
\[ 3:40 \]

### Final Answer
Thus, `7.5%` can be expressed as the ratio:
\[ 3:40 \]

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