Answer: [tex]\frac{19.5\pi }{3}\approx20.42[/tex]
Step-by-step explanation:
I assume that you need to find the product.
It is known that a fraction has the following form:
[tex]\frac{a}{b}[/tex]
Where "a" is the numerator and "b" is the denominator.
For this exercise it is important to remember that:
[tex](a)(\frac{b}{c})=\frac{ab}{c}[/tex]
In this case you have the following expression given in the exercise:
[tex]3.9(\frac{5\pi }{3})[/tex]
You can observe in the expression that the numeartor of the fraction is [tex]5\pi[/tex], and the denominator is [tex]3[/tex]
So, in order to find the product, you need to multiply the numerator (which is [tex]5\pi[/tex]) by the decimal number located outside of the parentheses (which is [tex]3.9[/tex]), and then you must divide that result by the denominator.
Through this procedure, you get the following result:
[tex]3.9(\frac{5\pi }{3})=\frac{(5\pi)(3.9)}{3}=\frac{19.5\pi }{3}\approx20.42[/tex]
