On Monday [tex]$2/3$[/tex] of the team practiced, Tuesday [tex]$7/8$[/tex], Wednesday [tex]$1/2$[/tex], and Thursday [tex]$3/4$[/tex]. On which day were the most team members present at practice?
A. Tuesday
B. Wednesday
C. Monday
D. Thursday
Answer (1)
Convert the fractions to decimals: 2/3 ≈ 0.6667 , 7/8 = 0.875 , 1/2 = 0.5 , 3/4 = 0.75 .
Compare the decimal values.
Identify the largest decimal value, which is 0.875 , corresponding to Tuesday.
The most team members were present on Tuesday: T u es d a y .
Explanation
Understanding the Problem We are given the fraction of team members present on Monday, Tuesday, Wednesday, and Thursday. We need to determine on which day the most team members were present. To do this, we need to compare the fractions 2/3 , 7/8 , 1/2 , and 3/4 .
Converting Fractions to Decimals To compare the fractions, we can convert them to decimals or find a common denominator. Let's convert them to decimals:
Monday: 2/3 ≈ 0.6667 Tuesday: 7/8 = 0.875 Wednesday: 1/2 = 0.5 Thursday: 3/4 = 0.75
Comparing Decimal Values Comparing the decimal values, we have:
Monday: 0.6667 Tuesday: 0.875 Wednesday: 0.5 Thursday: 0.75
The largest decimal value is 0.875 , which corresponds to Tuesday.
Conclusion Therefore, the most team members were present on Tuesday.
Examples
Understanding fractions is crucial in many real-life situations. For example, when baking, you often need to measure ingredients in fractions. If a recipe calls for 2/3 cup of flour and 1/2 cup of sugar, knowing how to compare these fractions helps you determine which ingredient you need more of. Similarly, in sports, a player's statistics, such as batting average or shooting percentage, are often expressed as fractions or decimals, allowing you to compare their performance.
