How do you write 12.5% as a fraction in simplest form?

To convert 12.5% into a fraction, follow these steps:

Step 1: Write the Percentage as a Fraction

Start by expressing 12.5% as a fraction. Percent means "per hundred," so you can write:

12.5% = 12.5/100

Step 2: Eliminate the Decimal

To simplify, first convert 12.5 into a whole number. You can do this by multiplying both the numerator and the denominator by 10:

12.5 × 10 = 125 and 100 × 10 = 1000

Now, you have:

125/1000

Step 3: Simplify the Fraction

Next, find the greatest common divisor (GCD) of 125 and 1000, which is 125. Divide both the numerator and the denominator by 125:

• 125 ÷ 125 = 1
• 1000 ÷ 125 = 8

This gives you:

1/8

Final Result

Thus, 12.5% as a fraction in its simplest form is 1/8.