Questions: 5 2/5 is the same as

5 2/5 is the same as
Transcript text: Q10 $5 \frac{2}{5}$ is the same as
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Solution

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Solution Steps

Step 1: Convert the mixed number to an improper fraction

The mixed number \( 5 \frac{2}{5} \) can be converted to an improper fraction by multiplying the whole number by the denominator and adding the numerator: \[ 5 \times 5 + 2 = 25 + 2 = 27 \] The denominator remains the same, so the improper fraction is: \[ \frac{27}{5} \]

Step 2: Simplify the improper fraction (if necessary)

The fraction \( \frac{27}{5} \) is already in its simplest form since 27 and 5 have no common divisors other than 1.

Step 3: Represent the improper fraction as a decimal

To convert \( \frac{27}{5} \) to a decimal, divide the numerator by the denominator: \[ 27 \div 5 = 5.4 \]

Final Answer

\(\boxed{\frac{27}{5}}\) and \(5.4\)

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