Converting Decimal to Fraction
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Questions and Answers

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?

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?

As an improper fraction, 2.56 is expressed as ( \frac{64}{25} ).

What is the process of converting a decimal to a fraction?

<p>To convert a decimal to a fraction, divide the decimal by 1 and multiply the numerator and denominator by 10 raised to the number of decimal places.</p> Signup and view all the answers

What is the decimal equivalent of the fraction ( \frac{64}{25} )?

<p>The decimal equivalent of ( \frac{64}{25} ) is 2.56.</p> Signup and view all the answers

Flashcards

Decimal to Fraction Conversion

Converting a decimal representation into a fractional representation. For example, the decimal 0.5 is equivalent to the fraction 1/2.

Denominator

The denominator of a fraction represents the total number of equal parts into which something is divided.

Numerator

The numerator of a fraction represents the number of parts we are considering out of the total.

Mixed Number

A mixed number combines a whole number and a proper fraction. For example, 2 1/2 is a mixed number.

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Simplifying Fractions

Expressing a fraction in its simplest form by dividing both the numerator and denominator by their greatest common factor. For example, 6/8 can be simplified to 3/4.

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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.

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