Pete looked at the colors of the shoes worn by his classmates. He found that 1/5 of the class wore white shoes, 3/20 wore blue shoes, 2/5 wore black shoes, and 1/4 wore red shoes. what color shoes did the most students have on? And how would i show the work? PLEASE HELP
We need to change all of these fractions to equivalent fractions with common denominators.
Multiply the numerator and the denominator by the same number to get a denominator of 20.
1/5 = 4/20
2/5 = 8/20
1/4 = 5/20
To determine which color of shoes most students had on, we need to compare the fractions given for each color.
First, let's calculate the number of students for each color of shoes by considering the total number of students in the class. Let's assume there are 100 students in Pete's class for easy calculation.
The fraction 1/5 represents the number of students wearing white shoes. To find the actual number, we multiply it by the total class size:
1/5 * 100 = 20 students wearing white shoes.
Similarly, for the other colors:
3/20 * 100 = 15 students wearing blue shoes.
2/5 * 100 = 40 students wearing black shoes.
1/4 * 100 = 25 students wearing red shoes.
Now that we have the number of students for each color, we can determine which color has the highest count. In this case, the color with the most students is black, with 40 students.
To show the work, we can create a table or display the calculations like this:
- White: 1/5 * 100 = 20 students
- Blue: 3/20 * 100 = 15 students
- Black: 2/5 * 100 = 40 students
- Red: 1/4 * 100 = 25 students
So, the most students have black shoes, with 40 students wearing them.