Chapter 12.6, Problem 41S

To determine

To find:The value of the expression.

Answer to Problem 41S

The required solution is $58.75$

Explanation of Solution

Given: $7.5·\frac{1}{2}·15\frac{2}{3}$

Calculation:

Consider the expression

  $7.5·\frac{1}{2}·15\frac{2}{3}$

There are three numbers, one is decimal, another is fraction and the last one is mixed number, first covert the mixed number into fraction.

  $\begin{array}{l}15\frac{2}{3}=\frac{15.3+2}{3}\\ =\frac{45+2}{3}\\ =\frac{47}{3}\end{array}$

Now, simplify the expression.

  $\begin{array}{l}7.5·\frac{1}{2}·15\frac{2}{3}=\cancel{7}.\cancel{5}{}^{2.5}·\frac{1}{2}·\frac{47}{\cancel{3}}\\ =\frac{(2.5)47}{2}\\ =\frac{117.5}{2}\\ =58.75\end{array}$

Conclusion:Therefore, The required solution is $58.75$