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Questions and Answers
What is the first step in converting a decimal to a fraction?
What is the first step in converting a decimal to a fraction?
What is the result of converting the fraction 1/4 to a decimal?
What is the result of converting the fraction 1/4 to a decimal?
What is an equivalent ratio to 1/2?
What is an equivalent ratio to 1/2?
How do you simplify the fraction 6/8?
How do you simplify the fraction 6/8?
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What is the result of converting the decimal 0.25 to a fraction?
What is the result of converting the decimal 0.25 to a fraction?
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Study Notes
Converting Decimals to Fractions
- To convert a decimal to a fraction, write the decimal as a fraction with the decimal numerator and a denominator that is a power of 10 (e.g. 10, 100, 1000, etc.)
- For example:
- 0.5 = 5/10 = 1/2
- 0.25 = 25/100 = 1/4
- 0.125 = 125/1000 = 1/8
Converting Fractions to Decimals
- To convert a fraction to a decimal, divide the numerator by the denominator
- For example:
- 1/2 = 1 ÷ 2 = 0.5
- 1/4 = 1 ÷ 4 = 0.25
- 1/8 = 1 ÷ 8 = 0.125
Equivalent Ratios
- Equivalent ratios are fractions that have the same value, but different numerators and denominators
- For example:
- 1/2 = 2/4 = 3/6
- 1/4 = 2/8 = 3/12
Simplifying Fractions
- To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD)
- For example:
- 6/8 = (6 ÷ 2)/(8 ÷ 2) = 3/4
- 12/16 = (12 ÷ 4)/(16 ÷ 4) = 3/4
Converting Decimals to Fractions
- Decimals can be converted to fractions by writing the decimal as a fraction with a numerator equal to the decimal and a denominator that is a power of 10.
- Examples of decimal to fraction conversions include 0.5 = 5/10 = 1/2, 0.25 = 25/100 = 1/4, and 0.125 = 125/1000 = 1/8.
Converting Fractions to Decimals
- Fractions can be converted to decimals by dividing the numerator by the denominator.
- Examples of fraction to decimal conversions include 1/2 = 1 ÷ 2 = 0.5, 1/4 = 1 ÷ 4 = 0.25, and 1/8 = 1 ÷ 8 = 0.125.
Equivalent Ratios
- Equivalent ratios are fractions that have the same value but different numerators and denominators.
- Examples of equivalent ratios include 1/2 = 2/4 = 3/6 and 1/4 = 2/8 = 3/12.
Simplifying Fractions
- Fractions can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD).
- Examples of simplifying fractions include 6/8 = (6 ÷ 2)/(8 ÷ 2) = 3/4 and 12/16 = (12 ÷ 4)/(16 ÷ 4) = 3/4.
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Description
Learn how to convert decimals to fractions and vice versa with simple examples and steps.
