# Worksheet: Conversion between Ratios, Fractions, and Percents

In this worksheet, we will practice writing ratios and fractions as percents and vice versa and solving word problems involving percents.

Q1:

Fill in the missing value: of is 60.

Q2:

On a train, 32 out of 50 seats are occupied. What percentage of seats are occupied and what percentage are empty?

• A occupied seats , empty seats
• B occupied seats , empty seats
• C occupied seats , empty seats
• D occupied seats , empty seats

Q3:

There are 1 000 students in a school, of whom 292 are in the first grade and 228 are in the second grade. The rest of the students are in higher grades. What percentage of students are in higher grades?

• A
• B
• C
• D

Q4:

Jack and Oliver took an exam. Jack got of the questions correct, and Oliver scored 79 out of 100. Who got the higher mark and how many more marks did they receive?

• AOliver, 90
• BJack, 11
• CJack, 21
• DOliver, 69

Q5:

Complete the definition: A percentage is a ratio .

• A whose first term is greater than its second term
• B whose first term is 100
• C whose second term is greater than its first term
• Dwhose second term is 100
• E whose second term is less than 100

Q6:

Express the following ratio as a percent: out of 100 forks.

Q7:

Fill in the missing value: .

Q8:

Fill in the missing value: .

Q9:

In an English exam, Michael scored 9 out of 20. What percentage of the exam did Michael get right?

Q10:

Fill in the missing value: .

Q11:

What is ?

Q12:

Last month, Fares’s total expenses were \$1 994 and this included \$720 spent on rent, Express the amount he spent on rent as a percentage of his total expenses. Round your answer to one decimal place.

Q13:

Fill in the missing value: of is 510.