x(1-1%2F7)x(1-1%2F8)x(1-1%2F9)x(1-1%2F10).jpeg "(1-1/6)x(1-1/7)x(1-1/8)x(1-1/9)x(1-1/10)")
The Fascinating Product: (1-1/6)x(1-1/7)x(1-1/8)x(1-1/9)x(1-1/10)
In mathematics, we often come across intriguing expressions that can be simplified to reveal a surprising result. One such example is the product:
(1-1/6)x(1-1/7)x(1-1/8)x(1-1/9)x(1-1/10)
At first glance, this expression may seem daunting, but fear not! Let's break it down and explore the fascinating world of fractions.
Simplifying the Product
To begin with, let's rewrite the expression by converting each fraction to its decimal equivalent:
(5/6)x(6/7)x(7/8)x(8/9)x(9/10)
Now, we can multiply these values together:
(5/6)x(6/7)x(7/8)x(8/9)x(9/10) = 0.8333...x0.8571...x0.875x0.8888...x0.9
The Astonishing Result
After multiplying all the values, we get:
0.1
Yes, you read that correctly! The product of those seemingly complex fractions simplifies to a neat and tidy 0.1.
Conclusion
In this article, we've explored the intriguing product of fractions, (1-1/6)x(1-1/7)x(1-1/8)x(1-1/9)x(1-1/10). By converting the fractions to decimals and multiplying them together, we arrived at a surprisingly simple result: 0.1. This calculation serves as a reminder that, with patience and persistence, even the most daunting mathematical expressions can be broken down and understood.
