What is 0.32 as a fraction in simplest form? Show your work and write your answer in the space below.
Understand the Problem
The question is asking to convert the decimal 0.32 into a fraction in its simplest form, and requires the user to show their work.
Answer
$ \frac{8}{25} $
Answer for screen readers
The simplest form of $0.32$ as a fraction is $ \frac{8}{25} $.
Steps to Solve
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Convert to Fraction To convert the decimal $0.32$ into a fraction, recognize that it represents $32$ hundredths. This can be written as: $$ \frac{32}{100} $$
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Simplify the Fraction We can simplify $ \frac{32}{100} $ by finding the greatest common divisor (GCD) of $32$ and $100$. The GCD of $32$ and $100$ is $4$.
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Divide by GCD Now, divide both the numerator and denominator by $4$ to simplify the fraction: $$ \frac{32 \div 4}{100 \div 4} = \frac{8}{25} $$
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Final Answer The fraction $ \frac{8}{25} $ is in its simplest form, as there are no common factors between $8$ and $25$.
The simplest form of $0.32$ as a fraction is $ \frac{8}{25} $.
More Information
The fraction $ \frac{8}{25} $ represents the same value as the decimal $0.32$. This conversion is useful in various mathematical contexts, such as measurements and ratios.
Tips
- Not recognizing that $0.32$ is $32$ hundredths, which can lead to incorrect fractions.
- Failing to simplify the fraction properly, such as by not finding the GCD.
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