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):
- 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
- 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.