Question
Convert the decimal to a fraction and reduce, if necessary.
Ask by Bradley Cole. in the United States
Mar 28,2025
Upstudy AI Solution
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Solution
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Write the decimal as a fraction by using a power of 10 in the denominator. For example, if the decimal isthen it can be written asbecause the decimal extends to three places.
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Find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 375 and 1000 is 125.
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Divide both the numerator and the denominator by the GCD to simplify the fraction:
Thus,
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Simplify this solution Mind Expander
Let’s take the decimal 0.75 as an example to convert it to a fraction. You can think of 0.75 as 75/100. If we divide both the numerator and the denominator by 25 (their greatest common divisor), we get 3/4. Voila! We have reduced the fraction.
To convert a decimal to a fraction, start by writing the decimal divided by 1 (e.g., 0.8 becomes 0.8/1). Multiply the numerator and denominator by 10 for every digit to the right of the decimal point (0.8/1 becomes 8/10). Then, reduce it to its simplest form by finding the GCD. This method lays a foundation for handling more complex decimals as well!
