Converting Percent, Decimals, and Fractions
Write the fraction as a decimal and a percent. Round to the nearest hundreths place if needed.
13/6
Decimal: 2.17
Percent: 217%
Use the percent proportion:
55% of what number is 33?
18.15
Is this an increase or decrease? Find the percent of change.
3.2 kilograms to 2.4 kilograms
Decrease; 25%
Original Price: $130
Discount: 45%
What is the sale price?
$71.50
Find interest earned and the balance of the account.
$2600 at 3.2% for 4 years
Interest: $332.80
Account Balance: $2932.80
Write the fraction as a decimal and a percent.
3/1000
Decimal: 0.003
Percent: 0.3%
Use the percent proportion:
Of the 360 runners at a 5-kilometer race, 20% are in the 35-39 age bracket. How many runners at the 5-kilometer race are in the 35-39 bracket?
72 runners are in the 35-39 age bracket
Is this an increase or decrease? Find the percent of change.
2/7 to 4/7
Original Price: $500
Sale Price: $175
What is the discount given?
65%
Find the annual interest rate.
I = $41.80, P = $440, t = 2 years
4.75%
Which number is greater?
5/9 or 55%
5/9 is greater because 5/9 = 0.55 repeating = 55.6%
Write and solve an equation to solve:
What number is 125% of 240?
Equation: p = (1.25)(240)
p = 300
Last month you swam the 50-meter freestyle in 28.38 seconds. Today you swam it in 27.33 seconds. Find the percent of change and round to the nearest tenth of a percent if necessary.
3.7% decrease
Discount: 5%
Sale Price: $68.40
What is the original price?
$72
Find the amount of time.
I = $9.90, P = $360, r = 5.5%
6 months or 0.5 years
3.2 because 3.2 = 320%
To maintain an acceptable level of chlorine in your pool, you add 1.4 gallons of chlorine. This is 0.007% of the amount of water in your pool. How many gallons of water are in your pool?
Equation: 1.4 = (0.00007)w
20,000 gallons
Last week 1200 burgers were served at a restaurant. This week 1176 burgers were served. What is the percent change?
2% decrease
You are buying shoes online. The original price is $29.99 and tax is 6.5%. What is the total cost? Round to the nearest penny if necessary.
$31.94
You borrow $20,000 to purchase a car. The interest rate is 7.5%. The loan is for 10 years. What is the total amount paid?
Double Points Bonus: How much would the payment be each month?
Interest: $15,000
Total amount paid: $35,000
Monthly Payment: $291.67
Order the numbers from least to greatest. Final answer must be in the original form.
81.8%, 0.8182, 0.822222 (repeating), 9/11
81.8%, 9/11, 0.8182, 0.8222 (repeating)
Write and solve an equation.
You must attend a minimum of 85% of the practices in order to play in the playoffs. You have made 37 of 42 practices. Will you be able to play in the playoffs?
Equation: 37 = p(42)
p = 0.88 = 88%
So yes, you can play in the playoffs.
In 2010 a scout troop had 14 members. In 2011 the troop had 16 members. What is the percent of change in membership? Round to the nearest tenth of a percent if necessary.
14.3% increase
Markup: 25%
Selling price: $437.50
What is the cost to the store?
$350
You invest $6000 in a restaurant. The investment has a return of 12%. How much do you receive for your investment after 30 months?
Interest: $1800
Total you receive: $7800