3 divied by 5

2025

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31-03-2025

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Meta Description: Learn how to solve the simple division problem of 3 divided by 5. This guide provides a step-by-step explanation of the process, including the resulting decimal and fraction. Perfect for students learning basic division!

Understanding Division

Division is one of the four basic arithmetic operations. It's the process of splitting a number into equal parts. In the problem "3 divided by 5," we're figuring out how many times 5 goes into 3.

Solving 3 Divided by 5

Since 5 is larger than 3, 5 cannot go into 3 a whole number of times. This means our answer will be a decimal or a fraction.

Method 1: Decimal Division

1. Set up the long division: Write 3 inside the long division symbol (÷) and 5 outside.

2. Add a decimal point: Add a decimal point after the 3 and add a zero. This doesn't change the value of 3, but it allows us to continue the division.

3. Perform the division: 5 goes into 30 six times (5 x 6 = 30). Write 6 above the 0.

4. Subtract: Subtract 30 from 30, resulting in 0.

Therefore, 3 divided by 5 is 0.6.

Method 2: Fraction Conversion

1. Express as a fraction: The problem "3 divided by 5" can be written as the fraction 3/5.

2. Simplify (if possible): In this case, the fraction is already in its simplest form.

Therefore, 3 divided by 5 is 3/5.

Comparing Decimal and Fraction Results

Both 0.6 and 3/5 represent the same value. They are simply different ways of expressing the result of dividing 3 by 5. Choosing between a decimal or a fraction often depends on the context of the problem.

Practical Applications

Understanding how to divide numbers like 3 by 5 is fundamental to various mathematical concepts and real-world scenarios. For example:

• Sharing equally: If you have 3 cookies and want to share them equally among 5 people, each person gets 0.6 (or 3/5) of a cookie.
• Calculating percentages: Dividing 3 by 5 helps determine percentages. 3/5 is equal to 60%.
• Scaling recipes: If a recipe calls for 5 units of an ingredient and you only want to make 3 units, you would divide 3 by 5 to find the appropriate scaling factor.

Conclusion

Dividing 3 by 5 results in 0.6 or 3/5. While it might seem like a simple problem, mastering this type of division builds a solid foundation for more complex mathematical operations. Remember, the ability to express the answer as both a decimal and a fraction is valuable for versatile problem-solving.