What is 8.25% as a fraction in simplest form?
Can't figure out where to start
825/10,000
or
33/400
To convert a percent to a fraction, you can follow these steps:
Step 1: Write down the percentage as a fraction with a denominator of 100. In this case, we have 8.25% which can be written as 8.25/100.
Step 2: Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD).
To find the GCD, we need to factor the numerator and the denominator into their prime factors.
The prime factorization of 8.25 is:
8.25 = 3 * 2.75
The prime factorization of 100 is:
100 = 2 * 2 * 5 * 5
Now, let's cancel out any common factors between the numerator and denominator:
8.25/100 = (3 * 2.75) / (2 * 2 * 5 * 5)
Since there are no common factors, we cannot simplify the fraction further.
So, 8.25% as a fraction in simplest form is 8.25/100.
8.25/100
= 825/1000
divide top and bottom by 25 to get
= 33/40