5 Divided By 0.3

3 min read Jul 27, 2024
5 Divided By 0.3

5 Divided by 0.3: Understanding the Concept

In mathematics, division is a fundamental operation that is used to split a quantity into equal parts or groups. However, have you ever wondered what happens when you divide a number by a decimal value, such as 0.3? In this article, we'll explore the concept of 5 divided by 0.3 and provide a step-by-step guide to solve this problem.

What is Division?

Before we dive into the solution, let's quickly review the concept of division. Division is the inverse operation of multiplication, which means that it undoes the multiplication. In other words, division is the process of finding how many times a number fits into another number.

5 Divided by 0.3: The Solution

To divide 5 by 0.3, we can follow the standard division procedure. Since 0.3 is a decimal value, we can convert it to a fraction by dividing it by 1, which gives us:

0.3 = 3/10

Now, we can rewrite the division problem as:

5 ÷ 0.3 = 5 ÷ (3/10)

To solve this problem, we can multiply 5 by the reciprocal of 3/10, which is 10/3.

5 × (10/3) = 50/3

Simplifying the Solution

To simplify the solution, we can divide the numerator (50) by the denominator (3), which gives us:

50 ÷ 3 = 16.67

Therefore, the solution to 5 divided by 0.3 is 16.67.

Conclusion

In conclusion, dividing a number by a decimal value, such as 0.3, is a straightforward process that involves converting the decimal to a fraction and then applying the standard division procedure. By following these steps, we can solve the problem of 5 divided by 0.3 and arrive at a solution of 16.67.