Change the Following Percentage to a Fraction

Question

Examlex · Accepted Answer

The Answer is To change a percentage to a fraction and reduce it to its lowest terms, follow these steps:

1. Write the percentage as a fraction with a denominator of 100. This is because the word "percent" means "per hundred."
2. Reduce the fraction to its lowest terms by dividing both the numerator (top number) and the denominator (bottom number) by their greatest common divisor (GCD).

Let's say the percentage you want to convert is 75%. Here's how you would do it:

1. Write 75% as a fraction:

\frac{75}{100}

.
2. Find the GCD of 75 and 100. The GCD of 75 and 100 is 25.
3. Divide both the numerator and the denominator by the GCD (25):

\frac{75 \div 25}{100 \div 25}

.
4. This simplifies to:

\frac{3}{4}

.

So, 75% as a fraction in its lowest terms is

\frac{3}{4}

.

Change the Following Percentage to a Fraction

Definitions: