Percents, Decimals, and Fractions

Grace completed 3/4 of her seventh-grade project. Which value is equivalent to the fraction of the project that Grace has completed? Select TWO correct answers.

• 75%

• 0.75

• 0.85

• 85%

Answer explanation

The correct values equivalent to 3/4 are 75% and 0.75, as they represent the same fraction in percentage and decimal form.

The history club at Sarah's middle school has 40 members. Only 85% of the members attend Monday meetings. Use the number line to determine the number of members who attend Monday meetings.

• A) 34

• B) 30

• C) 36

• D) 32

Answer explanation

To find the number of members who attend Monday meetings, calculate 85% of 40, which is 34. Therefore, the correct choice is A) 34.

Tags

CCSS.6.RP.A.3C

Sahira and Tylers lunch cost $30. They want to leave a 20% tip for their waiter. Use the model below to determine the amount of the tip.

• $3

• $6

• $9

• $12

Answer explanation

To calculate the tip, multiply the total cost ($30) by the tip percentage (20% or 0.20). $30 * 0.20 = $6. Therefore, the amount of the tip is $6.

Tags

CCSS.6.RP.A.3C

Peter purchased a gaming keyboard on sale for 30% off the original price of $145. What was the dollar amount taken off of the original price?

• $43.50

• $75

• $101.50

• $115

Answer explanation

To find the dollar amount taken off, calculate 30% of $145: 0.30 * $145 = $43.50. Therefore, $43.50 was taken off the original price.

Tags

CCSS.6.RP.A.3C

Match the following models with the PERCENTS that they represent.

• 100%

• 
• 50%

• 
• 17%

• 
• 75%

• 
• 1%

• 

Grace and Ava are counting vehicles in a parking lot. They find that cars make up 37 1/2% of the total number of cars and trucks. Which model represents this scenario, where a car is represented as and a truck is represented as? Shade ONE correct circle that represents the answer.

• Option A

• Option B

• Option C

• Option D

Answer explanation

Option C represents the scenario where a car is represented as 1/2 and a truck is represented as 2.

Tags

CCSS.3.NF.A.2B

CCSS.3.NF.A.1

Lily is creating a rectangular garden using square tiles. Each tile is of equal size. What percentage of the garden is shaded?

• 46%

• 50%

• 54%

• 40%

Answer explanation

The shaded area in a rectangular garden made of square tiles is 50% as half of the garden is shaded. This makes the correct answer choice 50%.

At a school event, 171 of the 225 students attended a meeting. Which statement shows values that are all equivalent to the fraction of students who attended the meeting?

• 171/225 = 19/25 = 0.76 = 76%

• 225/171 = 25/19 = 1.31 = 131%

• 171/225 = 57/75 = 0.57 = 57%

• 225/171 = 75/57 = 0.75 = 75%

Answer explanation

The correct choice is A) 171/225 = 19/25 = 0.76 = 76% because it correctly shows equivalent values for the fraction of students who attended the meeting.

Michael is making a quilt. He uses 1/4 yard of red fabric and 5/4 yard of blue fabric. Which number line shows points that represent 1/4 and 5/4?

• A

• B

• C

• D

Answer explanation

The correct number line showing points for 1/4 and 5/4 is C. The red fabric is represented by 1/4, and the blue fabric is represented by 5/4.

Tags

CCSS.3.NF.A.2B

CCSS.3.NF.A.1

At the end of the school year, Arjun’s class had a pizza party. The strip diagram below shows the number of slices of pizza left after the party.

• 0.125

• 11.8

• 1.38%

• 137.5%

Answer explanation

The correct answer is D 137.5%. To convert the number of slices left to a percentage, you multiply by 100. So, 1.375 * 100 = 137.5%.