Multiplying Fractions: A Step-by-Step Guide
In this article, we will explore how to multiply fractions, specifically the problem 6/10 x 6/10 x 5/10. We will break down the steps to solve this problem and provide a clear explanation of the process.
The Problem
The problem we are trying to solve is:
6/10 x 6/10 x 5/10
To solve this problem, we need to follow the rules of multiplying fractions.
Step 1: Multiply the Numerators
The first step is to multiply the numerators (the numbers on top) of each fraction:
6 x 6 x 5 = 180
Step 2: Multiply the Denominators
The second step is to multiply the denominators (the numbers on the bottom) of each fraction:
10 x 10 x 10 = 1000
Step 3: Write the Product as a Fraction
The third step is to write the product as a fraction by dividing the product of the numerators by the product of the denominators:
180 ÷ 1000 = 18/100
Simplifying the Fraction
The final step is to simplify the fraction, if possible. In this case, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD), which is 2:
18 ÷ 2 = 9 100 ÷ 2 = 50
So, the final answer is:
9/50
Conclusion
In conclusion, we have successfully multiplied the fractions 6/10 x 6/10 x 5/10 to get the answer 9/50. By following these simple steps, you can multiply fractions with ease and confidence.