4.50 divided by 6

Daniel Parker

2 min read

·

25-02-2025

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Dividing 4.50 by 6: A Step-by-Step Guide

What is 4.50 divided by 6? This seemingly simple division problem can be solved in several ways, catering to different levels of mathematical understanding. Let's explore different approaches to find the answer and understand the underlying concepts.

Method 1: Long Division

This classic method is a great way to understand the process step-by-step. Because we're dealing with a decimal, it's helpful to remember that we can remove the decimal point initially and add it back later.

1. Ignore the decimal: Initially, treat the problem as 45 divided by 6.
2. Divide: 6 goes into 4 zero times. 6 goes into 45 seven times (6 x 7 = 42).
3. Subtract: 45 - 42 = 3.
4. Bring down the zero (from the .00): This gives us 30.
5. Divide again: 6 goes into 30 five times (6 x 5 = 30).
6. Subtract: 30 - 30 = 0.
7. Add the decimal: Remember the decimal point from 4.50? Place it in the answer directly above its position in the dividend.

Therefore, 4.50 divided by 6 = 0.75

Method 2: Fraction Conversion

Another approach involves converting the decimal to a fraction.

1. Convert to a fraction: 4.50 can be written as 4 1/2 or as the improper fraction 9/2.
2. Divide the fractions: (9/2) ÷ 6 is equivalent to (9/2) x (1/6).
3. Multiply across: This gives us (9 x 1) / (2 x 6) = 9/12.
4. Simplify the fraction: Both 9 and 12 are divisible by 3. Simplifying, we get 3/4.
5. Convert to decimal: 3/4 is equivalent to 0.75.

Method 3: Using a Calculator

The simplest method, particularly for larger or more complex division problems, is to use a calculator. Input 4.50 ÷ 6 and the calculator will instantly give you the answer: 0.75.

Understanding the Result: 0.75

The answer, 0.75, represents the value of each part when 4.50 is divided into 6 equal parts. Think of it like sharing $4.50 equally among 6 people. Each person would receive $0.75.

Practical Applications

This type of division problem appears frequently in everyday life, such as:

• Sharing costs: Dividing a bill equally among friends.
• Calculating unit prices: Finding the price per item when buying in bulk.
• Averaging data: Determining the average value from a set of numbers.

This detailed explanation should clarify how to divide 4.50 by 6 using various methods. Regardless of the method employed, the correct answer remains consistently 0.75.