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Multiply : 0.86xx14...

Multiply :
`0.86xx14`

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To solve the multiplication of \(0.86\) by \(14\), we can follow these steps: ### Step 1: Write the multiplication in fraction form We can express \(0.86\) as a fraction. Since \(0.86\) has two decimal places, we can write it as: \[ 0.86 = \frac{86}{100} \] Thus, the multiplication can be rewritten as: \[ 0.86 \times 14 = \frac{86}{100} \times 14 \] ### Step 2: Multiply the whole number by the numerator Next, we multiply \(14\) by \(86\): \[ 86 \times 14 \] ### Step 3: Perform the multiplication Now, let's perform the multiplication \(86 \times 14\): - \(4 \times 6 = 24\) (write \(4\) and carry \(2\)) - \(4 \times 8 = 32\), plus the carry \(2\) gives \(34\) (write \(34\)) - Now, move to the next digit in \(14\) which is \(1\): - \(1 \times 6 = 6\) (write \(6\)) - \(1 \times 8 = 8\) (write \(8\)) Now, we add these two results together: ``` 344 + 860 ------- 1204 ``` ### Step 4: Divide by 100 Now, we have: \[ 86 \times 14 = 1204 \] Since we expressed \(0.86\) as \(\frac{86}{100}\), we need to divide \(1204\) by \(100\): \[ \frac{1204}{100} = 12.04 \] ### Final Answer Thus, the result of multiplying \(0.86\) by \(14\) is: \[ \boxed{12.04} \] ---
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