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.