What common fraction is equivalent to 8 1/3 percent?

What common fraction is equivalent to 8 1/3 percent?

• A. 1/10
• B. 1/12
• C. 1/8
• D. 3/25

Answer: (B)

To find what common fraction is equivalent to 8 1/3 percent, we start by converting the mixed number into an improper fraction. The mixed number 8 1/3 can be expressed as follows: 8 1/3 = 8 + 1/3 = 24/3 + 1/3 = 25/3. Now, to convert a percentage to a fraction, we divide the percentage value by 100. So, we take 25/3 percent and convert it: 25/3 percent = (25/3) / 100 = (25/3) * (1/100) = 25/300 = 1/12 after simplifying the fraction. Since we reduced 25/300 to its simplest form by dividing both the numerator and the denominator by 25, we confirm that 1/12 is indeed the fraction that represents 8 1/3 percent. This understanding of percentages and their conversion into fractions clarifies why the correct answer is 1/12.

To find what common fraction is equivalent to 8 1/3 percent, we start by converting the mixed number into an improper fraction.

The mixed number 8 1/3 can be expressed as follows:

8 1/3 = 8 + 1/3 = 24/3 + 1/3 = 25/3.

Now, to convert a percentage to a fraction, we divide the percentage value by 100. So, we take 25/3 percent and convert it:

25/3 percent = (25/3) / 100 = (25/3) * (1/100) = 25/300 = 1/12 after simplifying the fraction.

Since we reduced 25/300 to its simplest form by dividing both the numerator and the denominator by 25, we confirm that 1/12 is indeed the fraction that represents 8 1/3 percent.

This understanding of percentages and their conversion into fractions clarifies why the correct answer is 1/12.