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Divide : 0.068div 0.17...

Divide :
`0.068div 0.17`

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To solve the division of 0.068 by 0.17, we can follow these steps: ### Step 1: Rewrite the division We start with the division expression: \[ 0.068 \div 0.17 \] ### Step 2: Eliminate the decimals To make the division easier, we can eliminate the decimals by multiplying both the numerator (0.068) and the denominator (0.17) by 100 (since 0.17 has two decimal places): \[ 0.068 \times 100 = 6.8 \] \[ 0.17 \times 100 = 17 \] So, we rewrite the division as: \[ 6.8 \div 17 \] ### Step 3: Perform the division Now we divide 6.8 by 17. We can do this by determining how many times 17 fits into 68 (the whole number part of 6.8): - 17 goes into 68 exactly 4 times (since \( 17 \times 4 = 68 \)). - Therefore, \( 6.8 \div 17 = 0.4 \). ### Step 4: Determine the position of the decimal point Now, we need to consider the decimal places: - In the original numbers, 0.068 has 3 decimal places, and 0.17 has 2 decimal places. - When dividing, we subtract the number of decimal places in the denominator from the number of decimal places in the numerator: \[ 3 - 2 = 1 \] This means our answer will have 1 decimal place. ### Final Answer Thus, the final answer is: \[ 0.4 \] ---
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