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Mastering Ratios, Rates, Proportions, and Percent Calculations

Dive into the essential concepts of ratios, rates, proportions, and percent calculations with this comprehensive guide. Learn to express ratios in various forms, grasp the concept of rates, and solve real-world problems involving proportions. Understand how to work with fractions and decimals, and explore practical applications such as determining the percentage of a number. With step-by-step examples and clear explanations, you can enhance your mathematical skills and apply these concepts confidently in everyday situations.

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Mastering Ratios, Rates, Proportions, and Percent Calculations

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  1. Ratios & Rates Solving Proportions Percents & Fractions Percents & Decimals Percent of a Number 1pt 1 pt 1 pt 1pt 1 pt 2 pt 2 pt 2pt 2pt 2 pt 3 pt 3 pt 3 pt 3 pt 3 pt 4 pt 4 pt 4pt 4 pt 4pt 5pt 5 pt 5 pt 5 pt 5 pt

  2. Write the following as a ratio in three different ways: 15 peanut butter cookies in a bag of 34 cookies

  3. 15 to 34 15:34

  4. Express the ratio as a fraction in simplest form: 10 emeralds out of 25 gems

  5. Express the ratio as a fraction in simplest form: 16 states visited out of 50 states

  6. Express the ratio as a rate: 79.8 miles on 3 gallons of gas

  7. 26.6 miles per gallon

  8. Express the ratio ten oranges for two dollars as a rate.

  9. 5 oranges per dollar

  10. Fill-in the Blank: The cross products of a proportion are ______.

  11. EQUAL

  12. Use cross products to determine whether the pair of ratios forms a proportion:

  13. 7 x 15 = 105 8 x 12 = 96 105 doesn’t equal 96 therefore the ratios don’t form a proportion

  14. Solve the proportion:

  15. 5 x 24 = 120 40d= 120 d=3

  16. Solve the proportion:

  17. 3 x 85 = 255 5c = 255 c = 51

  18. Suppose Maria can read 15 pages in 20 minutes. How long will it take Maria to read 180 pages?

  19. 20 x 180 = 3600 3600 ÷ 15 = 240 mins. t = 240 mins

  20. Fill-in the Blank: A percent is a ratio that compares a number to ___.

  21. 100

  22. Express the percent as a fraction in simplest form. 55%

  23. According to a survey, 36% of consumers prefer to buy a personal computer at an electronic store. What fraction does this represent?

  24. Express the fraction as a percent:

  25. How is forty-five hundredths written as a percent?

  26. Express the percent as a decimal: 81%

  27. 0.81

  28. Express the percent as a decimal: 46%

  29. 0.46

  30. Express the percent as a decimal: 0.8%

  31. 0.008

  32. Express each decimal as a percent: 0.175

  33. 17.5%

  34. How is eighteen thousandths written as a percent?

  35. 0.018 = 1.8%

  36. The word of in the following problem tells you to use which operation? Find 24% of 250.

  37. MULTIPLICATION

  38. Find 100% of 137.

  39. 137

  40. What is 60% of 365?

  41. 0.6 x 365 = 219

  42. What is eight-tenths percent of eight hundred?

  43. 0.8% of 800 0.008 x 800 = 6.4

  44. The Fitch High School softball team won 88% of their games. If they played 25 games, how many games did they win?

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