Evaluate 3.7((5pi)/3)

Problem

3.7*((5*π)/3)

Solution

1. Identify the expression as a multiplication of a decimal constant and a fraction involving π

2. Multiply the decimal 3.7 by the numerator 5 to simplify the coefficient.

3.7⋅5=18.5

3. Rewrite the expression using the new coefficient over the denominator 3

(18.5*π)/3

4. Simplify the fraction by multiplying both the numerator and denominator by 10 to remove the decimal.

(185*π)/30

5. Reduce the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5

185÷5=37

30÷5=6

6. Combine the simplified fraction with π

(37*π)/6

Final Answer

3.7*((5*π)/3)=(37*π)/6

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