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QuestionMathematics

23) What are the decimal fraction and the simplified fraction for 0.8 ?
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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 given decimal

The given decimal is $$0.8

Step 3:
: Recognize the decimal as a fraction

0.8 = \frac{8}{10}

Step 4:
: Simplify the fraction

To simplify $$\frac{8}{10}$$, we need to find the greatest common factor (GCF) of 8 and 10.
- Factors of 8: 1, 2, 4, 8 - Factors of 10: 1, 2, 5, 10 - The greatest common factor is 2

Step 5:
: Divide both numerator and denominator by the GCF

\frac{8 \div 2}{10 \div 2} = \frac{4}{5}

Final Answer

- Decimal fraction: 0.8 - Simplified fraction: \frac{4}{5}