QQuestionMathematics
QuestionMathematics
If 0.075 is expressed as a fraction in its simplest form, what is its denominator?
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Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Convert the decimal 0.075 to a fraction
• To convert a decimal to a fraction, we first need to understand how many decimal places are present • 0.075 has 3 decimal places
Step 3:: Set up the conversion
0.075 \times 10^{3} = 75
• Multiply the decimal by 10^{3} to move the decimal point to the right
Step 4:: Write the fraction
• The fraction will be $$\frac{75}{10^{3}}
Step 5:: Simplify the fraction
• Simplifying gives $$\frac{3}{8}
• Find the greatest common factor (GCF) of 75 and 1000 • 75 = 3 \times 5^{2} • 1000 = 2^{3} \times 5^{3}
Step 6:: Identify the denominator
• The denominator of the simplified fraction is 8
Final Answer
8
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