QQuestionMathematics
QuestionMathematics
Write the decimal as a fraction in simplest form.
0.008
12 months agoReport content
Answer
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Step 1:I'll solve this problem step by step, following the specified LaTeX formatting guidelines:
Step 2:: Identify the decimal
The decimal given is $$0.008
Step 3:: Convert decimal to fraction
0.008 \times 10^{3} = 8
To convert a decimal to a fraction, we need to multiply the decimal by a power of 10 that moves the decimal point to the right of the decimal point.
Step 4:: Write the fraction
Now we can write this as a fraction with the numerator as 8 and the denominator as $$10^{3}$$:
\frac{8}{10^{3}}
Step 5:: Simplify the fraction
\frac{8}{1000} = \frac{8}{10^{3}} = \frac{8 \div 8}{1000 \div 8} = \frac{1}{125}
We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor:
Final Answer
0.008 = \frac{1}{125}
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