(1-3/4)x(1-3/7)x(1-3/10)x(1-3/13)x(1-3/16)

2 min read Jun 07, 2024
(1-3/4)x(1-3/7)x(1-3/10)x(1-3/13)x(1-3/16)

Evaluating the Expression: (1-3/4)x(1-3/7)x(1-3/10)x(1-3/13)x(1-3/16)

In this article, we will evaluate the expression (1-3/4)x(1-3/7)x(1-3/10)x(1-3/13)x(1-3/16) by breaking it down step by step.

Evaluating the Expression

To evaluate the expression, we need to follow the order of operations (PEMDAS):

  1. Evaluate the expressions inside the parentheses:
    • 1-3/4 = 1 - 0.75 = 0.25
    • 1-3/7 = 1 - 0.428571 = 0.571429
    • 1-3/10 = 1 - 0.3 = 0.7
    • 1-3/13 = 1 - 0.230769 = 0.769231
    • 1-3/16 = 1 - 0.1875 = 0.8125
  2. Multiply the results:
    • 0.25 × 0.571429 = 0.143359
    • 0.143359 × 0.7 = 0.1002533
    • 0.1002533 × 0.769231 = 0.0772032
    • 0.0772032 × 0.8125 = 0.06265168

Final Answer

The final result of the expression (1-3/4)x(1-3/7)x(1-3/10)x(1-3/13)x(1-3/16) is:

0.06265168

Therefore, the value of the given expression is approximately 0.0627.

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