$5$ . Mr. Turner gave his students problems to work on during class. The list below shows the progress of four students on their assignment. Write the numbers in order from greatest to least. $\newline$ Write the correct answer in each box. $\newline$ Greatest

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Precalculus

Solve equations using a quadratic pattern

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5

. Mr. Turner gave his students problems to work on during class. The list below shows the progress of four students on their assignment. Write the numbers in order from greatest to least.

\newline

Write the correct answer in each box.

\newline

Greatest

Identify Fractions: Student A completed $\frac{3}{4}$ of the problems, Student B completed $\frac{2}{3}$ , Student C completed $\frac{3}{5}$ , and Student D completed $\frac{4}{7}$ .
Convert to Decimals: To compare the fractions, find a common denominator or convert them to decimals.
Convert Fractions to Decimals: Convert $\frac{3}{4}$ to a decimal: $3 \div 4 = 0.75$ .
Order Decimals: Convert $\frac{2}{3}$ to a decimal: $2 \div 3 \approx 0.6667$ .
Match Decimals to Students: Convert $\frac{3}{5}$ to a decimal: $3 \div 5 = 0.60$ .
Match Decimals to Students: Convert $\frac{3}{5}$ to a decimal: $3 \div 5 = 0.60$ . Convert $\frac{4}{7}$ to a decimal: $4 \div 7 \approx 0.5714$ .
Match Decimals to Students: Convert $\frac{3}{5}$ to a decimal: $3 \div 5 = 0.60$ . Convert $\frac{4}{7}$ to a decimal: $4 \div 7 \approx 0.5714$ . Now we have the decimals: Student A - $0.75$ , Student B - $0.6667$ , Student C - $0.60$ , Student D - $0.5714$ .
Match Decimals to Students: Convert $\frac{3}{5}$ to a decimal: $3 \div 5 = 0.60$ . Convert $\frac{4}{7}$ to a decimal: $4 \div 7 \approx 0.5714$ . Now we have the decimals: Student A - $0.75$ , Student B - $0.6667$ , Student C - $0.60$ , Student D - $0.5714$ . Order the decimals from greatest to least: $0.75$ , $0.6667$ , $0.60$ , $0.5714$ .
Match Decimals to Students: Convert $\frac{3}{5}$ to a decimal: $3 \div 5 = 0.60$ . Convert $\frac{4}{7}$ to a decimal: $4 \div 7 \approx 0.5714$ . Now we have the decimals: Student A - $0.75$ , Student B - $0.6667$ , Student C - $0.60$ , Student D - $0.5714$ . Order the decimals from greatest to least: $0.75$ , $0.6667$ , $0.60$ , $0.5714$ . Match the decimals to the students: Greatest is Student A ( $0.75$ ), then Student B ( $0.6667$ ), followed by Student C ( $0.60$ ), and the least is Student D ( $0.5714$ ).