Convert the following percentages into ratios :
37.5 %

Answer

To convert 37.5% into a ratio, follow these steps:

### Step 1: Remove the Decimal
First, we need to express 37.5% without the decimal. We can do this by multiplying 37.5 by 10 to eliminate the decimal point.

\[ 37.5\% = \frac{375}{10} \]

### Step 2: Remove the Percentage Sign
Next, we need to convert the percentage to a fraction. To do this, we divide by 100 (since percent means per hundred).

\[ \frac{375}{10} = \frac{375}{10} \times \frac{1}{100} = \frac{375}{1000} \]

### Step 3: Simplify the Fraction
Now, we simplify the fraction \(\frac{375}{1000}\). We can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 375 and 1000 is 125.

\[ \frac{375 \div 125}{1000 \div 125} = \frac{3}{8} \]

### Step 4: Express as a Ratio
Finally, we can express the fraction \(\frac{3}{8}\) as a ratio. This is written as:

\[ 3 : 8 \]

### Final Answer
The ratio of 37.5% is \(3 : 8\).

---