Write each decimal as a fraction. (Do not write in lowest terms.) 0.6
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1
Identify the decimal number: 0.6.
Recognize that 0.6 is in the tenths place, meaning it can be expressed as .
Write the decimal as a fraction: .
Note that the fraction is not in its lowest terms, but the problem specifies not to simplify.
Conclude that is expressed as without simplification.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Decimal Representation
A decimal is a way of expressing numbers that are not whole, using a point to separate the whole number part from the fractional part. For example, in the decimal 0.6, the '0' represents zero whole units, and '6' represents six tenths, indicating a fraction of 6/10.
A fraction represents a part of a whole and is expressed as a ratio of two integers, with a numerator (top number) and a denominator (bottom number). In the case of converting decimals to fractions, the decimal is translated into a fraction form, such as 0.6 becoming 6/10.
The conversion of a decimal to a fraction involves identifying the place value of the decimal. For instance, 0.6 can be converted by recognizing that it is in the tenths place, leading to the fraction 6/10. This process does not require simplifying the fraction, as the instruction specifies not to write in lowest terms.