Questions and Answers
How do you find percent notation from a fraction?
First turn it into a decimal. Divide the top number by the bottom one. Move the decimal point two places to the right. Add the % symbol. Check if the answer looks reasonable.
How do you find a fraction notation from a percent?
Use a calculator. Enter the number, press 2nd, PRB, = to get a decimal. Then enter 2nd, PRB, = again to get the fraction.
What fraction does 0.33333333333 (repeating) represent?
1/3
What fraction does 0.66666666666 (repeating) represent?
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How do you write ratios as fractions?
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Which of the following is a rule of ratios? (Select all that apply)
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What is the difference between a ratio and a rate?
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How do you convert whole numbers in ratios to fractions?
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What should you do with decimals in ratios?
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How do you write a proportion?
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What is the method to determine if you have a proportion?
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What does percent mean?
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How do you convert percents to decimals?
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How do you convert decimals to percents?
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How do you convert a percent to a fraction?
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Study Notes
Finding Percent Notation from a Fraction
- Convert fraction to decimal by dividing numerator by denominator.
- Move decimal point two places right to convert to percent.
- Add the % symbol after moving the decimal.
Finding Fraction Notation from a Percent
- Use a calculator to convert percent to decimal.
- Access fraction using the appropriate calculator function.
Converting Repeating Decimal 0.333... to a Fraction
- Memorize that 0.333... equals 1/3.
Converting Repeating Decimal 0.666... to a Fraction
- Memorize that 0.666... equals 2/3.
Writing Ratios as Fractions
- Place the first number as the numerator and the second number as the denominator.
- Example: 1 to 7 becomes 1/7.
- Both fractions and decimals can be used in ratio notation.
Ratio Rules
- Avoid decimals and mixed numbers in ratios.
- Ensure all proper fractions are in reduced form.
- Ratios should not include any units.
Difference Between Ratio and Rate
- Ratios compare similar quantities.
- Rates compare different types of quantities.
Ratios in Simplest Form (Whole Numbers)
- To simplify whole number ratios, enter as a fraction then hit equals.
- Convert whole numbers to fractions by placing them over 1.
Ratios in Simplest Form (Decimals)
- Divide the numerator by the denominator for decimal ratios.
- Use calculator functions to convert mixed numerals to improper fractions.
Ratios in Simplest Form (Fractions)
- Input fractions into a calculator using the proper keys and divide them.
- Use calculator functions to convert mixed numerals to improper fractions.
Keywords for Rates
- Phrases like "for every" or "per" indicate rate.
- Include units in the resultant answer, e.g., 60 oz/3000 sq ft.
Determining Unit Pricing
- Calculate unit price by dividing total cost by the number of items.
- Round the answer to three decimal places and include units.
Understanding Proportions
- Proportions consist of two equal ratios (or fractions).
- Example: 5/6 is equal to 10/12.
Writing Proportions
- Include units for both numerator and denominator, abbreviations are acceptable.
- Example: 12 rubies / 6 diamonds.
Checking if a Proportion Exists
- Cross multiply the ratios; if products are equal, a proportion exists.
Finding Missing Numbers in Proportions
- Set up an equation with the given ratios.
- Cross multiply to simplify and solve for the unknown variable.
Proportion in Word Problems
- Identify key phrases like "corresponds to."
- Write appropriate ratios and set up the equation with a variable.
Working with Similar Shapes
- Compare corresponding sides from different shapes and set up ratios.
- Use cross multiplication to solve for unknowns, addressing one variable at a time.
Understanding Percent
- "Percent" combines "per" (for every) and "cent" (meaning 100).
Converting Percents to Decimals
- Move the decimal point two places left and remove the % symbol.
Converting Decimals to Percents
- Move the decimal point two places right and add the % symbol.
Converting Percent to Fraction
- Express percent as a fraction over 100, then simplify.
- Alternatively, convert using a calculator's function for fractions.
Fraction Summary
- Information on how to work with fractions was not completed, indicating an opportunity for further exploration.
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Test your understanding of converting between fractions and percents with these flashcards from Math Chapters 5 and 6. Each card includes definitions and processes to help you grasp the concepts thoroughly. Perfect for quick review or test preparation.