4.50 divided by 6

Charlotte

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26-02-2025

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Solving the Equation: 4.50 Divided by 6

Dividing decimals can sometimes seem daunting, but with the right approach, it becomes straightforward. Let's break down how to solve 4.50 divided by 6. This problem is a fundamental concept in math, useful in everyday situations like splitting a bill or calculating unit prices.

Understanding the Problem:

The problem "4.50 divided by 6" asks: "If we divide 4.50 into 6 equal parts, how much is in each part?" This is represented mathematically as 4.50 ÷ 6 or 4.50/6.

Method 1: Long Division

The traditional method involves long division. While this method might seem lengthy, it reinforces core mathematical principles.

1. Set up the problem: Write 4.50 inside the long division bracket and 6 outside. Since we're dealing with decimals, the decimal point in the answer will be directly above the decimal point in the dividend (4.50).

2. Divide: How many times does 6 go into 4? It doesn't, so we move to the next digit. How many times does 6 go into 45? It goes in 7 times (7 x 6 = 42). Write "7" above the 5 in 4.50.

3. Subtract: Subtract 42 from 45, leaving 3.

4. Bring down: Bring down the next digit (0).

5. Divide again: How many times does 6 go into 30? It goes in 5 times (5 x 6 = 30). Write "5" above the 0 in 4.50.

6. Subtract again: Subtract 30 from 30, leaving 0.

Therefore, the answer is 0.75.

Method 2: Converting to Fractions

Another approach is to convert the decimal to a fraction and then simplify.

1. Write as a fraction: 4.50 can be written as 450/100.

2. Simplify the fraction: Both 450 and 100 are divisible by 50. Dividing both by 50 simplifies the fraction to 9/2.

3. Divide: Divide the numerator (9) by the denominator (2). This results in 4 with a remainder of 1. We can express this as 4 ½ or 4.5. However, remember we are dividing by 6, not 2. So we still need to perform the final division: (9/2) / 6 = 9 / (2*6) = 9/12.

4. Simplify further: Both 9 and 12 are divisible by 3, simplifying to 3/4.

5. Convert back to decimal: 3/4 is equal to 0.75.

Method 3: Using a Calculator

The simplest method is to use a calculator. Enter 4.50 ÷ 6, and the calculator will instantly display the answer: 0.75.

Conclusion:

Regardless of the method used, the answer to 4.50 divided by 6 is consistently 0.75. Choosing the best method depends on individual preference and the context of the problem. Understanding the different methods allows for flexibility and a deeper grasp of mathematical principles. Whether you prefer long division, fraction conversion, or a calculator, the result remains the same—a clear and concise solution to this common mathematical question.