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Questions and Answers
What is the fractional representation of the decimal 2.56?
What is the fractional representation of the decimal 2.56?
The fractional representation of 2.56 is ( \frac{64}{25} ).
How can you convert the decimal 2.56 into a mixed number?
How can you convert the decimal 2.56 into a mixed number?
2.56 can be converted into a mixed number as ( 2 \frac{64}{100} ) or simplified to ( 2 \frac{16}{25} ).
If you wanted to express 2.56 as an improper fraction, what would it be?
If you wanted to express 2.56 as an improper fraction, what would it be?
As an improper fraction, 2.56 is expressed as ( \frac{64}{25} ).
What is the process of converting a decimal to a fraction?
What is the process of converting a decimal to a fraction?
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What is the decimal equivalent of the fraction ( \frac{64}{25} )?
What is the decimal equivalent of the fraction ( \frac{64}{25} )?
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Study Notes
Converting Decimal to Fraction
- To convert a decimal to a fraction, identify the place value of the last digit in the decimal.
- Example: 2.56 The last digit, 6, is in the hundredths place.
- Write the decimal as a fraction using the last digit's place value as the denominator.
- Example: 2.56 = 256/100
- Simplify the fraction if possible to reduce the fraction to its lowest terms.
- Example: 256/100 can be simplified by dividing both the numerator (256) and denominator (100) by their greatest common divisor, which is 4.
- 256 ÷ 4 = 64
- 100 ÷ 4 = 25
- Simplified fraction: 64/25
- The fraction representing 2.56 is 64/25.
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Description
This quiz focuses on the process of converting decimals into fractions. Learn how to identify the place value of the last digit and simplify the fraction to its lowest terms through examples. Test your understanding of decimal-fraction conversions with practical exercises.
