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Questions and Answers
What is the ratio 16 to 40 written as a fraction in lowest terms?
What is the ratio 16 to 40 written as a fraction in lowest terms?
2/5
What is the ratio 15 : 75 in lowest terms?
What is the ratio 15 : 75 in lowest terms?
1 : 5
What is the ratio 175/250 written in word form and in lowest terms?
What is the ratio 175/250 written in word form and in lowest terms?
7 to 10
What is the ratio of dimes to pennies in a jar that contains 11 pennies and 8 dimes?
What is the ratio of dimes to pennies in a jar that contains 11 pennies and 8 dimes?
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What is the ratio of roses to the total number of flowers in a vase containing 12 tulips and 20 roses?
What is the ratio of roses to the total number of flowers in a vase containing 12 tulips and 20 roses?
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Which rate represents Keisha walking 12 miles in 3 hours?
Which rate represents Keisha walking 12 miles in 3 hours?
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Which rate represents Daniel reading 3 books in 2.5 weeks?
Which rate represents Daniel reading 3 books in 2.5 weeks?
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What unit rate represents the 48 ounces in 3 bottles?
What unit rate represents the 48 ounces in 3 bottles?
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What unit rate represents a printer printing 70 pages in 5 minutes?
What unit rate represents a printer printing 70 pages in 5 minutes?
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What unit rate describes a plane traveling 3300 miles in 6 hours?
What unit rate describes a plane traveling 3300 miles in 6 hours?
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Which ratio is equivalent to 3 : 11?
Which ratio is equivalent to 3 : 11?
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Which ratio is equivalent to 10 : 85?
Which ratio is equivalent to 10 : 85?
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Which ratio is NOT equivalent to 24/36?
Which ratio is NOT equivalent to 24/36?
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Which ratio is proportional to 3/5?
Which ratio is proportional to 3/5?
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Which pair of ratios is proportional?
Which pair of ratios is proportional?
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What is the solution to the proportion n/18 = 5/9?
What is the solution to the proportion n/18 = 5/9?
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What is the solution to the proportion 6/15 = x/20?
What is the solution to the proportion 6/15 = x/20?
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What is the solution to the proportion 3/m = 12/15?
What is the solution to the proportion 3/m = 12/15?
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How much does it cost to buy 5 stamps if twenty stamps cost $8.40?
How much does it cost to buy 5 stamps if twenty stamps cost $8.40?
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How many cups of flour are needed to make 6 servings if a recipe calls for 3 cups for 8 servings?
How many cups of flour are needed to make 6 servings if a recipe calls for 3 cups for 8 servings?
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What is 3/5 written as a decimal?
What is 3/5 written as a decimal?
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What is 0.28 written as a fraction in simplest form?
What is 0.28 written as a fraction in simplest form?
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What is 5.61 written as a percent?
What is 5.61 written as a percent?
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What is 82.4% written as a decimal?
What is 82.4% written as a decimal?
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What is 0.32% written as a decimal?
What is 0.32% written as a decimal?
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What is 4/5 written as a percent?
What is 4/5 written as a percent?
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To the nearest tenth of a percent, what is 3/11 written as a percent?
To the nearest tenth of a percent, what is 3/11 written as a percent?
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What is 3.25% written as a fraction in lowest terms?
What is 3.25% written as a fraction in lowest terms?
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What fraction of people prefer a certain brand of toothpaste if a survey showed 62% prefer it?
What fraction of people prefer a certain brand of toothpaste if a survey showed 62% prefer it?
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What is 2.3% written as a decimal?
What is 2.3% written as a decimal?
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What is 28% of 75?
What is 28% of 75?
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Twenty-two is what percent of 55?
Twenty-two is what percent of 55?
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Forty-five is 30% of what number?
Forty-five is 30% of what number?
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Which proportion can be used to find the amount of tax Ben will pay if he bought a camera for $90 and the tax rate is 6%?
Which proportion can be used to find the amount of tax Ben will pay if he bought a camera for $90 and the tax rate is 6%?
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What percent of Lee's 40 e-mails were from her friend Cara if 8 were from her?
What percent of Lee's 40 e-mails were from her friend Cara if 8 were from her?
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What is the percent of increase from 50 to 90?
What is the percent of increase from 50 to 90?
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What is the percent of decrease from 110 to 77?
What is the percent of decrease from 110 to 77?
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What is the percent of decrease in the number of cars at a dealership that dropped from 64 to 48?
What is the percent of decrease in the number of cars at a dealership that dropped from 64 to 48?
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Study Notes
Ratios
- The ratio of 16 to 40 simplified is 2/5, with a greatest common factor (GCF) of 8.
- The ratio 15:75 reduces to 1:5, using a GCF of 15.
- Written as words, the ratio 175/250 is 7 to 10, with a GCF of 25.
- A jar with 11 pennies and 8 dimes has a ratio of dimes to pennies as 8 to 11.
- In a vase with 12 tulips and 20 roses, the ratio of roses to the total (32 flowers) is 5 to 8.
Unit Rates
- Keisha's walking rate is 12 miles in 3 hours (4 miles/hour).
- Daniel read 3 books in 2.5 weeks, yielding a rate of 3 books/2.5 weeks.
- 48 ounces in 3 bottles results in a unit rate of 16 ounces per bottle.
- A printer’s output of 70 pages in 5 minutes equates to 14 pages per minute.
- A plane's speed is 550 miles per hour after traveling 3300 miles in 6 hours.
Equivalent and Proportional Ratios
- An equivalent ratio to 3:11 is 15:55, with a GCF of 5.
- For 10:85, an equivalent form is 20/170, with a GCF of 2.
- The ratio 24/36 is not equivalent to 3/4.
- The ratio 12/20 is proportional to 3/5, with a GCF of 4.
- Ratios 7/14 and 20/40 are proportional to each other.
Solving Proportions
- For the proportion n/18 = 5/9, the solution is n = 10.
- In the proportion 6/15 = x/20, solving gives x = 8.
- The proportion 3/m = 12/15 leads to m = 3.75.
Percent and Cost Calculations
- The cost for 5 stamps, given that twenty stamps cost $8.40, is $2.10.
- A pastry recipe using 3 cups flour for 8 servings requires 2.25 cups for 6 servings.
Converting between Decimal, Fraction, and Percent
- 3/5 is expressed as the decimal 0.6.
- The decimal 0.28 simplifies to the fraction 7/25.
- Converting 5.61 gives 561% as a percent.
- 82.4% written as a decimal is 0.824.
- 0.32% is 0.0032 when converted to a decimal.
- The fraction 4/5 is represented as 80% when converted.
Percentages from Fractions
- 3/11 translates to approximately 27.3% when expressed as a percent.
- The decimal equivalent of 3.25% in fraction form is 13/400.
- A survey indicates that 62% prefer a specific toothpaste brand, simplifying to 31/50.
- Converting 2.3% results in a decimal of 0.023.
Finding Percentages and Increases/Decreases
- 28% of 75 equals 21.
- Twenty-two is 40% of 55.
- 45 is 30% of 150.
- The proportion x/90 = 6/100 calculates the tax on a $90 camera at a 6% tax rate.
- Out of Lee’s 40 emails, 20% (8 emails) were from Cara.
Percent of Change
- The percent increase from 50 to 90 is 80%.
- The percent decrease from 110 to 77 is 30%.
- A drop in cars from 64 to 48 signifies a percent decrease of 25%.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of ratios, proportions, and percentages with these flashcards designed for DRHS Algebra. Each card presents a scenario requiring you to simplify ratios or express them in different forms. Perfect for quick review or study sessions!
