Convert the following percentages into fractions:
162.5 %

Answer

To convert the percentage 162.5% into a fraction, we can follow these steps:

### Step 1: Write the percentage as a fraction
To convert a percentage to a fraction, we divide the percentage value by 100.

\[ 162.5\% = \frac{162.5}{100} \]

### Step 2: Eliminate the decimal
To eliminate the decimal in the numerator, we can multiply both the numerator and the denominator by 10.

\[ \frac{162.5 \times 10}{100 \times 10} = \frac{1625}{1000} \]

### Step 3: Simplify the fraction
Now, we need to simplify the fraction \(\frac{1625}{1000}\). We can do this by finding the greatest common divisor (GCD) of 1625 and 1000.

- The GCD of 1625 and 1000 is 125.

Now we divide both the numerator and the denominator by their GCD:

\[ \frac{1625 \div 125}{1000 \div 125} = \frac{13}{8} \]

### Final Answer
Thus, the fraction equivalent of 162.5% is:

\[ \frac{13}{8} \]

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