Questions: Question 8 of 20 : Select the best answer for the question. 8. On Monday Sarah had homework in 7 / 10 of her classes, Tuesday 3 / 5, Wednesday 9 / 11, and Thursday 1 / 2. Which day did she have the most homework? A. Thursday B. Tuesday C. Wednesday D. Monday
Transcript text: Question 8 of 20 : Select the best answer for the question. 8. On Monday Sarah had homework in $7 / 10$ of her classes, Tuesday $3 / 5$, Wednesday $9 / 11$, and Thursday $1 / 2$. Which day did she have the most homework? A. Thursday B. Tuesday C. Wednesday D. Monday
Solution
Solution Steps
Step 1: Compare the fractions
To determine which day Sarah had the most homework, we need to compare the fractions representing the proportion of her classes with homework on each day. The fractions are:
Monday: \( \frac{7}{10} \)
Tuesday: \( \frac{3}{5} \)
Wednesday: \( \frac{9}{11} \)
Thursday: \( \frac{1}{2} \)
Step 2: Convert fractions to decimals
To make the comparison easier, convert each fraction to a decimal:
Monday: \( \frac{7}{10} = 0.7000 \)
Tuesday: \( \frac{3}{5} = 0.6000 \)
Wednesday: \( \frac{9}{11} \approx 0.8182 \)
Thursday: \( \frac{1}{2} = 0.5000 \)
Step 3: Identify the largest decimal
Compare the decimal values:
Monday: 0.7000
Tuesday: 0.6000
Wednesday: 0.8182
Thursday: 0.5000
The largest decimal is 0.8182, which corresponds to Wednesday.