QQuestionMathematics
QuestionMathematics
Write 4.8 as a fraction or as a mixed number in simplest form.
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Step 1:I'll solve this problem step by step following the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
We need to convert the decimal 4.8 into a fraction or mixed number in its simplest form.
Step 3:: Convert the Decimal to an Improper Fraction
4.8 = \frac{48}{10}
To convert 4.8 to a fraction, we'll multiply by 10 to remove the decimal:
Step 4:: Simplify the Fraction
\frac{48}{10} = \frac{24}{5}
Reduce the fraction by finding the greatest common factor (GCF) of 48 and 10: - Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 - Factors of 10: 1, 2, 5, 10 - The GCF is 2 Divide both numerator and denominator by 2:
Step 5:: Convert to a Mixed Number
- This means $$4\frac{4}{5}
To convert to a mixed number, divide 24 by 5: - 24 ÷ 5 = 4 remainder 4
Final Answer
4.8 can be expressed as \frac{24}{5} (improper fraction) or 4\frac{4}{5} (mixed number).
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