On Monday Sarah had homework in 7/10 of her classes Tuesday 3/5 Wednesday 9/11 Thursday 1/2 which day she had the most
The Correct Answer and Explanation is:
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To determine which day Sarah had the most homework, we need to compare the fractions of classes in which she had homework each day:
- Monday: 710\frac{7}{10}107
- Tuesday: 35\frac{3}{5}53
- Wednesday: 911\frac{9}{11}119
- Thursday: 12\frac{1}{2}21
Step 1: Convert All Fractions to the Same Denominator or Decimal
We can convert these to decimals for easier comparison:
- Monday: 710=0.7\frac{7}{10} = 0.7107=0.7
- Tuesday: 35=0.6\frac{3}{5} = 0.653=0.6
- Wednesday: 911≈0.818\frac{9}{11} \approx 0.818119≈0.818
- Thursday: 12=0.5\frac{1}{2} = 0.521=0.5
Step 2: Compare the Decimals
- Monday: 0.7
- Tuesday: 0.6
- Wednesday: 0.818
- Thursday: 0.5
Among these, 0.818 (Wednesday) is the highest.
✅ Final Answer: Wednesday
📘 Explanation
To find out which day Sarah had the most homework, we compare the fractions of classes with homework each day. Fractions represent parts of a whole, and in this context, they tell us what portion of Sarah’s classes had homework assigned. To accurately compare these fractions, we must either convert them to decimals or find a common denominator. Decimals are quicker for this task.
On Monday, Sarah had homework in 7 out of 10 classes. This equals 710\frac{7}{10}107, which converts to 0.7. On Tuesday, she had homework in 3 out of 5 classes; 35\frac{3}{5}53 becomes 0.6. On Wednesday, she had homework in 9 out of 11 classes. That’s 911\frac{9}{11}119, which equals approximately 0.818. Lastly, on Thursday, she had homework in only half of her classes, 12\frac{1}{2}21, or 0.5.
Now, we compare all the decimals:
- Wednesday: 0.818 (≈ 82%)
- Monday: 0.7 (70%)
- Tuesday: 0.6 (60%)
- Thursday: 0.5 (50%)
Clearly, 0.818 is the largest value among them. This means Sarah had homework in the highest percentage of her classes on Wednesday. Therefore, Wednesday is the day she had the most homework.
Understanding how to convert and compare fractions is essential in real-life situations, like evaluating performance or workload over time. This helps students organize their study schedules and manage their time effectively based on their busiest days.
