Converting Decimals to Fractions: Example

Rule 28:
For this review, we will focus on terminating fractions. Divide the fraction by 1, and then multiply the result by 1 in a form that will remove the decimal.

Example:
Convert 11.0895 to a simple fraction.

Answer:
The decimal 11.0895 can be written tex2html_wrap_inline34 .
The fraction tex2html_wrap_inline34 can also be divided by 1 without changing the value.

tex2html_wrap_inline38 .

The fraction tex2html_wrap_inline40 can be reduced.

tex2html_wrap_inline42 .

The only prime factors of the numerator, 22179, are 3 and 7393, and the only prime factors of the denominator, 2000, are 2 and 5. Since the numerator and the denominator do not share a common factor, the answer tex2html_wrap_inline44 cannot be reduced further.

Comment:
Use your calculator to check your answer.

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