# What is the value of 1/2 of 2/3 of 3/4.....- Math Riddle

Mathematical puzzles often invite us to explore intriguing patterns and relationships. Today, we have a challenge involving a sequence of fractions that might seem complex at first glance. The task is to find the value of multiplying these fractions together. Join us as we embark on this journey of fractional multiplication.

What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?

**Answer: 100**

**Explanation : **

Certainly, let's provide a mathematical explanation for the value of the expression:

1/2 * 2/3 * 3/4 * 4/5 * 5/6 * 6/7 * 7/8 * 8/9 * 9/10 * 1000

Start with the first fraction, 1/2.

Multiply it by the second fraction, 2/3:

(1/2) * (2/3) = 2/6 = 1/3

Now, multiply the result (1/3) by the next fraction, 3/4:

(1/3) * (3/4) = 3/12 = 1/4

Continue this process by multiplying by each successive fraction:

(1/4) * (4/5) = 4/20 = 1/5

(1/5) * (5/6) = 5/30 = 1/6

(1/6) * (6/7) = 6/42 = 1/7

(1/7) * (7/8) = 7/56 = 1/8

(1/8) * (8/9) = 8/72 = 1/9

(1/9) * (9/10) = 9/90 = 1/10

Now, we have:

(1/10) * 1000 = 100

So, mathematically, we've shown that the expression simplifies to 100. This demonstrates that a series of fractions can be progressively simplified, resulting in a clear and straightforward answer.

This intricate chain of fractions ultimately simplifies down to the value of 100. It serves as a reminder of the fascinating patterns that numbers can reveal, even in seemingly complex equations. The next time you encounter a puzzling mathematical challenge, remember to approach it one step at a time. Happy solving!