Podcast
Questions and Answers
Which of the following represents the correct process for converting a percentage to a decimal?
Which of the following represents the correct process for converting a percentage to a decimal?
- Move the decimal place one position to the left and divide by 10.
- Move the decimal place two positions to the left. (correct)
- Move the decimal place one position to the right and multiply by 10.
- Move the decimal place two positions to the right and multiply by 100.
What is the correct order, from least to greatest, of the following values: 65%, 13/20, and 0.60?
What is the correct order, from least to greatest, of the following values: 65%, 13/20, and 0.60?
- 65%, 13/20, 0.60
- 0.60, 13/20, 65% (correct)
- 0.60, 65%, 13/20
- 13/20, 0.60, 65%
A store offers a 15% discount on an item originally priced at $50. After applying the discount, a 6% sales tax is added to the discounted price. What is the final price of the item?
A store offers a 15% discount on an item originally priced at $50. After applying the discount, a 6% sales tax is added to the discounted price. What is the final price of the item?
- $42.75 (correct)
- $44.75
- $40.25
- $42.50
Which of the following fractions is equivalent to 37.5%?
Which of the following fractions is equivalent to 37.5%?
If 7/8 of a pizza has been eaten, what percentage of the pizza remains?
If 7/8 of a pizza has been eaten, what percentage of the pizza remains?
Flashcards
Fractions, decimals, and percentages
Fractions, decimals, and percentages
Represent the same value in different forms.
Convert percentage to fraction
Convert percentage to fraction
Divide the percentage by 100 and simplify the resulting fraction.
Convert percentage to a decimal
Convert percentage to a decimal
Move the decimal point two places to the left.
Convert decimal to a percentage
Convert decimal to a percentage
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Convert a fraction to a percentage.
Convert a fraction to a percentage.
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Study Notes
Converting Between Fractions, Decimals, and Percentages
- Fractions, decimals, and percentages can represent the same value
- It is possible to convert between these different representations of numbers
Converting Percentages to Fractions
- Percentages are out of a hundred; thirty percent becomes thirty one-hundredths (30/100)
- To reduce the fraction, divide both numbers by ten
- Dividing by ten can be simplified by crossing out the zero in each number
- Thirty percent (30%) is equivalent to three tenths (3/10)
Converting Percentages to Decimals
- Move the decimal place twice to the left
- One hundred is two orders of magnitude greater than one
- For example, thirty percent (30%) becomes 0.3 (zero point three)
- With 8.25% sales tax, move the decimal twice to the left, inserting a zero if needed, resulting in 0.0825
- To compute sales tax on an item, multiply its price by this decimal
Converting Decimals to Percentages
- Move the decimal twice to the right
- This is the same as multiplying by a hundred
- 0.84 becomes eighty-four percent (84%)
Converting Fractions to Percentages
- Convert the fraction into a decimal first
- To find the decimal of three fifths (3/5), determine the decimal of one-fifth (1/5); one fifth (1/5) is 0.2; therefore three fifths (3/5) is 0.6
- Move the decimal over twice to the right and get sixty percent (60%)
Table of Common Conversions
- One should convert between fractions, decimals, and percentages with ease
- These are all just different ways of communicating ideas that are useful in different scenarios
Arranging Values
- To arrange 45%, 21/50, and 0.43 from least to greatest, one must convert them to the same format:
- 45% is 45/100
- Convert 21/50 to a fraction with a denominator of 100 by multiplying both numbers by two: 42/100
- Convert 0.43 by moving the decimal over twice to get 43%, which is 43/100
- Now they can be put in order: 42/100 (21/50), then 43/100 (0.43), then 45/100 (45%)
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Description
Learn how to convert between fractions, decimals, and percentages. Percentages can be written as a fraction out of one hundred. To convert a percentage to a decimal, move the decimal two places to the left.
