Chapter 11.2, Problem 36WE

To determine

To find: The product of the numbers after converting into fractional form

Answer to Problem 36WE

The product of the two numbers is $\frac{5}{8}$

Explanation of Solution

Given information:

The given rational number is:

  $\begin{array}{l}{n}_1=0.875\\ n_2=\frac{5}{7}\end{array}$

Converting the decimal expansion of a number in fractional form:

  $\begin{array}{c}{n}_1=0.875\\ =\frac{875}{1000}\\ =\frac{7}{8}\end{array}$

Calculating the product of two numbers:

  $\begin{array}{l}N=n_1\times n_2\\ N=\frac{7}{8}\times \frac{5}{7}\\ N=\frac{5}{8}\end{array}$

Thus, the product of the two numbers is $\frac{5}{8}$