Question

Frank asked 24 classmates whether they preferred Takis over Chopped Cheese. He used a calculator to compare the number of classmates who said yes to the total number surveyed. The calculator showed the result as 0.66666667.

A) Write this number as a fraction
B) How many students preferred Takis over Chopped Cheese? (Note: Enter your answer using numbers only. Do not include units.)

Answer 1

To write the decimal number 0.66666667 as a fraction, we can use the fact that every repeating decimal can be expressed as a fraction. The number of students who preferred Takis over Chopped Cheese is 16.

Step-by-step explanation:

To write the decimal number 0.66666667 as a fraction, we can use the fact that every repeating decimal can be expressed as a fraction. Let x be the repeating decimal. To convert x into a fraction, we multiply both sides of the equation x = 0.66666667 by a power of 10 to eliminate the repeating part. In this case, we multiply x = 0.66666667 by 10 to get 10x = 6.66666667. Next, we subtract the equation x = 0.66666667 from the equation 10x = 6.66666667 to get 9x = 6. Then, we divide both sides of the equation by 9 to solve for x, which gives us x = 6/9. Therefore, the decimal number 0.66666667 can be written as the fraction 6/9, which can be simplified to 2/3.

To find the number of students who preferred Takis over Chopped Cheese, we can multiply the total number of classmates surveyed by the fraction that represents the decimal number 0.66666667 as a fraction. Frank asked 24 classmates, so we can multiply 24 by 2/3 to find the number of students who preferred Takis over Chopped Cheese.

24 * 2/3 = 16

Therefore, the number of students who preferred Takis over Chopped Cheese is 16.