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Evaluate the 2.85 div 1.5...

Evaluate the
`2.85 div 1.5`

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To evaluate \( 2.85 \div 1.5 \), we can follow these steps: ### Step 1: Rewrite the Division We start with the expression: \[ 2.85 \div 1.5 \] This can be rewritten as: \[ \frac{2.85}{1.5} \] ### Step 2: Eliminate the Decimal To eliminate the decimal, we can multiply both the numerator and the denominator by 10 (since 1.5 has one decimal place). This gives us: \[ \frac{2.85 \times 10}{1.5 \times 10} = \frac{28.5}{15} \] ### Step 3: Perform Long Division Now we will perform long division of \( 28.5 \) by \( 15 \). 1. **Divide 28 by 15**: - 15 goes into 28 once (1). - \( 15 \times 1 = 15 \) - Subtract \( 28 - 15 = 13 \). 2. **Bring down the next digit (5)**: - Now we have 135. 3. **Divide 135 by 15**: - 15 goes into 135 nine times (9). - \( 15 \times 9 = 135 \) - Subtract \( 135 - 135 = 0 \). ### Step 4: Place the Decimal Point Since we had one decimal place in the original number (2.85), we place the decimal point in our answer: \[ 1.9 \] ### Final Answer Thus, the value of \( 2.85 \div 1.5 \) is: \[ \boxed{1.9} \] ---
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