Solving 18.5 Divided by 20: A Step-by-Step Guide
This seemingly simple division problem, 18.5 divided by 20, can be solved in a few different ways. Understanding the different approaches helps build a stronger foundation in mathematical operations. Let's explore them:
Method 1: Direct Division
The most straightforward method is to perform the division directly. You can do this using a calculator or long division.
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Using a calculator: Simply enter 18.5 ÷ 20 into your calculator. The answer will be 0.925.
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Using long division: This method provides a deeper understanding of the process. Here's how it works:
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Set up the long division problem: 20 | 18.5
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Since 20 doesn't go into 18, we add a decimal point to 18.5 and a zero to make it 185.0
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Now, determine how many times 20 goes into 185. It goes in 9 times (9 x 20 = 180). Write the 9 above the 5 in 18.5.
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Subtract 180 from 185, leaving a remainder of 5.
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Add another zero to the remainder, making it 50.
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Now determine how many times 20 goes into 50. It goes in 2 times (2 x 20 = 40). Write the 2 next to the 9.
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Subtract 40 from 50, leaving a remainder of 10.
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Add another zero to get 100. 20 goes into 100 five times. (5 x 20 = 100) Add the 5. The remainder is 0.
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Therefore, 18.5 divided by 20 equals 0.925.
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Method 2: Converting to Fractions
Another approach is to express the problem as a fraction and then simplify:
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Write the division as a fraction: 18.5/20
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To get rid of the decimal, multiply both numerator and denominator by 10: (18.5 x 10) / (20 x 10) = 185/200
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Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 5: 185/200 = 37/40
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Now convert the fraction to a decimal by dividing the numerator by the denominator: 37 ÷ 40 = 0.925
Both methods yield the same result: 0.925. Choosing the method depends on your preference and the tools available. Understanding both methods strengthens your mathematical skills and provides alternative approaches for solving similar problems.
