Answer:
22.5% is equal to 9/40 in its simplest form.
Explanation:
To write 22.5% as a fraction in its simplest form, we can start by expressing 22.5% as a fraction with a denominator of 100.
The percentage sign "%" means "per hundred," so 22.5% is equivalent to 22.5/100.
To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor (GCD), which is 2 in this case.
22.5/100 = (22.5 ÷ 2) / (100 ÷ 2) = 11.25/50
Now, let's simplify this fraction further by dividing both the numerator and denominator by their GCD, which is 25.
11.25/50 = (11.25 ÷ 25) / (50 ÷ 25) = 0.45/2
So, 22.5% written as a fraction in simplest form is 9/40.
Alternatively, we can convert the decimal value of 22.5% to a fraction by moving the decimal point two places to the left and writing it over the denominator 100:
22.5% = 0.225/1
Since both the numerator and denominator are divisible by 0.025, we can simplify further:
0.225/1 = (0.225 ÷ 0.025) / (1 ÷ 0.025) = 9/40
Therefore, 22.5% is equal to 9/40 in its simplest form.