Evaluating the Expression: 1/3 x 22/7 x 7 x 7 x 20
In this article, we will evaluate the given mathematical expression: 1/3 x 22/7 x 7 x 7 x 20.
Breaking Down the Expression
Let's break down the expression into smaller parts to make it easier to evaluate:
- 1/3: a fraction with numerator 1 and denominator 3
- 22/7: a fraction with numerator 22 and denominator 7
- 7: an integer
- 7: another integer
- 20: an integer
Evaluating the Expression
To evaluate the expression, we need to follow the order of operations (PEMDAS):
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Multiply the fractions 1/3 and 22/7:
1/3 x 22/7 = (1 x 22) / (3 x 7) = 22/21
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Multiply the result by 7:
(22/21) x 7 = (22 x 7) / 21 = 154/21
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Multiply the result by 7 again:
(154/21) x 7 = (154 x 7) / 21 = 1078/21
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Multiply the result by 20:
(1078/21) x 20 = (1078 x 20) / 21 = 21560/21
Final Answer
The final answer is 21560/21, which can be simplified to 10280/10 or 1028.
Therefore, the value of the expression 1/3 x 22/7 x 7 x 7 x 20 is 1028.
