Dividing 0.25 by 1/5: A Mathematical Exploration
Introduction
In mathematics, division is a fundamental operation that helps us solve problems and find unknown values. However, when dealing with fractions and decimals, things can get a bit tricky. In this article, we'll explore the concept of dividing 0.25 by 1/5 and break down the steps to find the solution.
Understanding the Problem
The problem at hand is dividing 0.25 by 1/5. To tackle this, we need to understand the concept of fractions and decimals.
- Fractions: A fraction is a way to express a part of a whole. In this case, 1/5 represents one-fifth of a whole.
- Decimals: A decimal is a way to express a value using a base-10 number system. 0.25 is a decimal equivalent to the fraction 1/4.
Solving the Problem
To divide 0.25 by 1/5, we can follow these steps:
Step 1: Convert the Fraction to a Decimal
First, we need to convert the fraction 1/5 to a decimal. To do this, we can divide the numerator (1) by the denominator (5).
1 ÷ 5 = 0.2
So, 1/5 is equivalent to 0.2.
Step 2: Perform the Division
Now that we have converted the fraction to a decimal, we can perform the division.
0.25 ÷ 0.2 = ?
To divide 0.25 by 0.2, we can use a calculator or perform the calculation manually.
0.25 ÷ 0.2 = 1.25
Therefore, 0.25 divided by 1/5 is equal to 1.25.
Conclusion
In this article, we explored the concept of dividing 0.25 by 1/5. By converting the fraction to a decimal and performing the division, we found the solution to be 1.25. This exercise demonstrates the importance of understanding fractions and decimals in mathematical problem-solving.
