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Convert the following rational numbers i...

Convert the following rational numbers into decimals:
`(2)/(5)`

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The correct Answer is:
To convert the rational number \( \frac{2}{5} \) into a decimal, we can follow these steps: ### Step 1: Set up the division We need to divide 2 by 5. Since 2 is smaller than 5, we will add a decimal point and a zero to 2 to make it 20. ### Step 2: Perform the division Now, we divide 20 by 5. - 5 goes into 20 exactly 4 times because \( 5 \times 4 = 20 \). ### Step 3: Subtract the result from 20 Now, we subtract 20 from 20: - \( 20 - 20 = 0 \) Since there is no remainder, we can conclude our division. ### Step 4: Write the result The result of the division \( \frac{2}{5} \) is 0.4 in decimal form. ### Final Answer Thus, \( \frac{2}{5} = 0.4 \). ---
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