QQuestionMathematics
QuestionMathematics
"Write 3.8 as a mixed number and as an improper fraction.
Provide your answers in simplest form."
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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:: Understand the Conversion Process
To convert a decimal to a mixed number or improper fraction, we need to: - Separate the whole number part - Convert the decimal part to a fraction - Simplify the resulting fraction if possible
Step 3:: Identify the Whole Number Part
The whole number part of 3.8 is 3.
Step 4:: Convert the Decimal Part to a Fraction
\frac{8}{10} = \frac{4}{5}
- The decimal part is 0.8 - To convert 0.8 to a fraction, multiply by 10 to remove the decimal - Simplify the fraction
Step 5:: Create the Mixed Number
3\frac{4}{5}
Combine the whole number and fractional part:
Step 6:: Create the Improper Fraction
\frac{19}{5}
- Multiply the whole number by the denominator and add the numerator - Place over the original denominator
Final Answer
- Mixed Number: 3\frac{4}{5} - Improper Fraction: \frac{19}{5}
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