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Questions and Answers
What is one of the benefits of converting fractions to decimals?
What is one of the benefits of converting fractions to decimals?
- To make calculations more complicated
- To eliminate equivalent ratios
- To make the fractions more intuitive to understand (correct)
- To make the fractions more complex
What is the correct step to convert a fraction to a decimal?
What is the correct step to convert a fraction to a decimal?
- Multiply the numerator by the denominator
- Divide the numerator by the denominator (correct)
- Add the numerator and denominator
- Subtract the numerator from the denominator
What type of decimal is 0.5?
What type of decimal is 0.5?
- Repeating decimal
- Terminating decimal (correct)
- Equivalent ratio
- Mixed decimal
What is the decimal equivalent of the fraction 2/3?
What is the decimal equivalent of the fraction 2/3?
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What are fractions with the same value, but different numerators and denominators?
What are fractions with the same value, but different numerators and denominators?
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Study Notes
Converting Fractions to Decimals
Why Convert Fractions to Decimals?
- Easier to compare and order values
- Simplifies calculations and conversions to percentages
- More intuitive understanding of proportions and ratios
How to Convert Fractions to Decimals:
- Divide the numerator by the denominator
- Example: 3/4 = 3 ÷ 4 = 0.75
- Use a calculator or long division to find the decimal equivalent
- Example: 2/5 = 2 ÷ 5 = 0.4
Key Concepts:
- Equivalent ratios: Fractions with the same value, but different numerators and denominators
- Repeating decimals: Decimals that have an infinite sequence of repeating digits (e.g., 1/3 = 0.333...)
- ** Terminating decimals**: Decimals with a finite number of digits (e.g., 1/2 = 0.5)
Common Conversions:
- 1/2 = 0.5
- 1/3 = 0.333... (repeating)
- 2/3 = 0.666... (repeating)
- 3/4 = 0.75
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Test your understanding of converting fractions to decimals, including why it's useful and how to do it using division or a calculator.
