0.375 as a fraction
Understand the Problem
The question is asking us to convert the decimal number 0.375 into a fraction. This involves finding the equivalent ratio of whole numbers to represent the decimal value.
Answer
\( \frac{3}{8} \)
Answer for screen readers
The final answer is ( \frac{3}{8} )
Steps to Solve
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Write the decimal number as a fraction
The decimal 0.375 can be written as the fraction $$\frac{0.375}{1}$$
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Eliminate the decimal by multiplying numerator and denominator by 1000
To eliminate the decimal, we can multiply both the numerator and the denominator by 1000 (since there are three decimal places): $$\frac{0.375 \times 1000}{1 \times 1000} = \frac{375}{1000}$$
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Simplify the fraction
To simplify ( \frac{375}{1000} ), find the greatest common divisor (GCD) of 375 and 1000. The GCD is 125. Divide both the numerator and the denominator by their GCD: $$\frac{375 \div 125}{1000 \div 125} = \frac{3}{8}$$
The final answer is ( \frac{3}{8} )
More Information
The fraction ( \frac{3}{8} ) represents the same value as the decimal 0.375. Understanding how to convert between decimals and fractions can be useful in various mathematical contexts, including algebra, probability, and statistical analysis.
Tips
A common mistake is not correctly finding the greatest common divisor (GCD) for simplifying the fraction or incorrectly multiplying the numerator and denominator when eliminating the decimal.
