Fractions Simplified: Understanding 1/4 × 4/5
Introduction
Fractions can be intimidating, but with the right approach, they can be simplified and made easy to understand. In this article, we will explore the multiplication of two fractions: 1/4 × 4/5. We will break down the problem, simplify the solution, and provide a clear explanation of the process.
The Problem
The problem at hand is to multiply two fractions: 1/4 × 4/5. This may seem daunting, but fear not! We will show you how to simplify this problem and arrive at the solution.
The Solution
To multiply two fractions, we need to follow these simple steps:
Step 1: Multiply the numerators
Multiply the numerators (top numbers) of both fractions:
1 × 4 = 4
Step 2: Multiply the denominators
Multiply the denominators (bottom numbers) of both fractions:
4 × 5 = 20
Step 3: Write the solution
Now, write the solution as a fraction with the product of the numerators as the numerator and the product of the denominators as the denominator:
4/20
Simplifying the Solution
The solution 4/20 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
4 ÷ 4 = 1 20 ÷ 4 = 5
So, the simplified solution is:
1/5
Conclusion
In conclusion, multiplying fractions is a simple process that requires following a few basic steps. By applying these steps, we simplified the problem 1/4 × 4/5 to arrive at the solution 1/5. With practice and patience, you too can become proficient in multiplying fractions.