Answer:
Explanation:
To express 22 1/5% as a fraction in its simplest form, you can first convert the mixed number (22 1/5%) into an improper fraction, and then simplify it:
Step 1: Convert the mixed number to an improper fraction:
22 1/5% can be converted to an improper fraction as follows:
22 1/5% = 22 + 1/5%
To convert the whole number (22) into a fraction, we put it over 1:
22 = 22/1
Now, we add the fractions together:
22/1 + 1/5
To add these fractions, find a common denominator, which in this case is 5:
(22/1) * (5/5) + 1/5 = 110/5 + 1/5
Step 2: Add the fractions:
110/5 + 1/5 = (110 + 1)/5 = 111/5
Now, we have the improper fraction 111/5.
Step 3: Simplify the fraction:
To simplify further, you can divide both the numerator and denominator by their greatest common divisor, which is 5:
(111 ÷ 5) / (5 ÷ 5) = 22/1
So, 22 1/5% as a fraction in its simplest form is 22/1, which is equivalent to just 22.