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Convert into a decimal: (1589)/(100)...

Convert into a decimal:
`(1589)/(100)`

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The correct Answer is:
To convert the fraction \( \frac{1589}{100} \) into a decimal, follow these steps: ### Step 1: Understand the Division We need to divide 1589 by 100. This means we are finding out how many times 100 fits into 1589. **Hint:** Remember that dividing by 100 will shift the decimal point two places to the left. ### Step 2: Set Up the Division You can set it up as long division or simply recognize that dividing by 100 means moving the decimal point. **Hint:** If you don't see a decimal point in 1589, you can think of it as 1589.0. ### Step 3: Move the Decimal Point Since we are dividing by 100, we move the decimal point two places to the left. Starting with 1589.0: - Move the decimal point one place to the left: 158.90 - Move it another place to the left: 15.89 **Hint:** Each move to the left represents a division by 10. ### Step 4: Write the Result After moving the decimal point two places to the left, we find that: \[ \frac{1589}{100} = 15.89 \] ### Final Answer The decimal representation of \( \frac{1589}{100} \) is **15.89**. ---
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