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Fractions, Decimals, and Percentages Flashcards

6 cards from real CAAT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. A winter coat is originally priced at $150. It is on sale for 30% off. What is the final sale price of the coat?

    Answer: c) $105.00

    To find the sale price, first calculate the discount amount. Convert the percentage to a decimal (30% = 0.30) and multiply by the original price ($150 * 0.30 = $45). Then, subtract the discount from the original price ($150 - $45 = $105).

  2. A baker uses 3/8 of a bag of flour for a recipe. What percentage of the bag of flour did the baker use?

    Answer: a) 37.5%

    To convert a fraction to a percentage, divide the numerator by the denominator and then multiply the result by 100. 3 divided by 8 equals 0.375. Then, 0.375 multiplied by 100 equals 37.5%.

  3. Which of the following lists shows the numbers in order from least to greatest?

    Answer: d) 3/5, 62%, 0.65

    To compare the numbers, convert them all to the same format, such as decimals. 3/5 = 0.60. 62% = 0.62. The decimal 0.65 is already in the correct format. Now, ordering them from least to greatest gives: 0.60, 0.62, 0.65. This corresponds to the original numbers: 3/5, 62%, 0.65.

  4. A new employee's starting salary is $40,000. After one year, they receive a raise and their new salary is $42,000. What was the percent increase of the employee's salary?

    Answer: b) 5%

    The formula for percent increase is: [(New Value - Original Value) / Original Value] * 100. The increase in salary is $42,000 - $40,000 = $2,000. Divide the increase by the original salary: $2,000 / $40,000 = 0.05. Multiply by 100 to get the percentage: 0.05 * 100 = 5%.

  5. A mechanic has a wrench labeled 0.875 inches. Which of the following fractional sizes is equivalent to this decimal?

    Answer: c) 7/8

    To convert the decimal 0.875 to a fraction, you can write it as 875/1000. This fraction can then be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 125. 875 ÷ 125 = 7, and 1000 ÷ 125 = 8. Therefore, the fraction is 7/8.

  6. At a fundraising event, 240 out of 300 attendees donated. What percentage of attendees donated?

    Answer: a) 80%

    To find the percentage, create a fraction representing the part over the whole (240/300). Simplify the fraction by dividing both numbers by 60, which gives 4/5. To convert 4/5 to a percentage, divide 4 by 5 to get 0.8, and then multiply by 100 to get 80%.