Podcast
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?
What is the correct step to convert a fraction to a decimal?
What is the correct step to convert a fraction to a decimal?
What type of decimal is 0.5?
What type of decimal is 0.5?
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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Description
Test your understanding of converting fractions to decimals, including why it's useful and how to do it using division or a calculator.
