Question

write the decimal as a proper fraction or as a mixed number and simplify.

(3.8 = \square)

Explanation:

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<reasoning>

Identify the components of the decimal

The given decimal is \(3.8\).
The whole number part is \(3\).
The decimal part is \(0.8\).

Convert the decimal part to a fraction

The decimal \(0.8\) has one decimal place.
This represents eight tenths.
\[
0.8 = \frac{8}{10}
\]

Simplify the fraction

Find the greatest common divisor of \(8\) and \(10\).
The greatest common divisor is \(2\).
Divide the numerator and denominator by \(2\).
\[
\frac{8 \div 2}{10 \div 2} = \frac{4}{5}
\]

Write as a mixed number

Combine the whole number and the simplified fraction.
The mixed number is \(3\frac{4}{5}\).
</reasoning>

<answer>
Write the decimal as a proper fraction or as a mixed number and simplify.

\(3.8 =\) <blank>\(3\frac{4}{5}\)</blank>
</answer>

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Answer:

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<reasoning>

Identify the components of the decimal

The given decimal is \(3.8\).
The whole number part is \(3\).
The decimal part is \(0.8\).

Convert the decimal part to a fraction

The decimal \(0.8\) has one decimal place.
This represents eight tenths.
\[
0.8 = \frac{8}{10}
\]

Simplify the fraction

Find the greatest common divisor of \(8\) and \(10\).
The greatest common divisor is \(2\).
Divide the numerator and denominator by \(2\).
\[
\frac{8 \div 2}{10 \div 2} = \frac{4}{5}
\]

Write as a mixed number

Combine the whole number and the simplified fraction.
The mixed number is \(3\frac{4}{5}\).
</reasoning>

<answer>
Write the decimal as a proper fraction or as a mixed number and simplify.

\(3.8 =\) <blank>\(3\frac{4}{5}\)</blank>
</answer>

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