Fractions, Decimals, and Percentages Flashcards

A hardware store offers a 20% discount on all power tools. If a drill is originally priced at £85.00, what is the price after the discount is applied?

Answer: £68.00

To find the discount amount, calculate 20% of £85.00 (0.20 * 85 = £17.00). Then, subtract the discount from the original price (£85.00 - £17.00 = £68.00).

A recipe requires 3/4 of a kilogram of flour. What is this amount expressed as a decimal?

Answer: 0.75 kg

To convert a fraction to a decimal, you divide the numerator by the denominator. In this case, 3 divided by 4 equals 0.75.

An employee's weekly timesheet shows they worked 37.5 hours. The company considers a standard work week to be 40 hours. What percentage of a standard week did the employee work?

Answer: 93.75%

To find the percentage, divide the hours worked by the total hours in a standard week and multiply by 100. (37.5 / 40) * 100 = 93.75%.

Which of the following values is the largest?

Answer: 2/3

To compare these values, convert them to the same format, such as decimals. 5/8 = 0.625; 60% = 0.60; 0.62 remains 0.62; 2/3 = 0.666... Comparing the decimals (0.625, 0.60, 0.62, 0.666...), 0.666... (or 2/3) is the largest value.

A survey of 200 people found that 15% have a pet cat. How many people surveyed have a pet cat?

Answer: 30

To find the number of people, calculate 15% of 200. This can be done by converting the percentage to a decimal (0.15) and multiplying by the total number of people (0.15 * 200 = 30).

A customer pays £4.50 for a sandwich, which represents 3/8 of their total lunch budget for the day. What is the customer's total lunch budget?

Answer: £12.00

If £4.50 is 3/8 of the budget, you can find what 1/8 is by dividing £4.50 by 3 (£1.50). Since the total budget is 8/8, you then multiply this amount by 8 (£1.50 * 8 = £12.00).