QQuestionMathematics
QuestionMathematics
# Write 0.008 as a fraction in simplest form.
A. $\frac{8}{100}$
B. $\frac{1}{125}$
C. $\frac{1}{5}$
D. $\frac{3}{5}$
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Answer
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Step 1:Let's solve this step by step:
Step 2:: Identify the decimal
The decimal is 0.008
Step 3:: Convert the decimal to a fraction
- This means we'll write it as $$\frac{8}{1000}
To convert a decimal to a fraction, we need to determine the denominator based on the number of decimal places. - 0.008 has 3 decimal places
Step 4:: Simplify the fraction
To simplify $$\frac{8}{1000}$$, we'll find the greatest common factor (GCF) of 8 and 1000
- Factors of 8: 1, 2, 4, 8 - Factors of 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000 - The greatest common factor is 8
Step 5:: Divide both numerator and denominator by the GCF
\frac{8 \div 8}{1000 \div 8} = \frac{1}{125}
Step 6:: Check the given options
Looking at the options, $$\frac{1}{125}$$ corresponds to option B.
Final Answer
B. \frac{1}{125}
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