Problem 46 - Introductory Algebra for College Students

Question

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$8 \cdot \frac{3}{7}$$

Step-by-Step Solution

Answer

The result of the operation is \(\frac{24}{7}\)

Step 1: Multiplication Operation

For the multiplication, remember that any integer can be written as a fraction by placing the number over 1. So, \(8\) can be written as \(\frac{8}{1}\). Now, you have \(\frac{8}{1} \cdot \frac{3}{7}\)

Step 2: Multiply Numerators and Denominators

Multiply the numerators (the top part of the fraction) together to get the numerator of the answer, and multiply the denominators (the bottom part of the fraction) together to get the denominator of the answer. So, the result is: \(\frac{8*3}{1*7} = \frac{24}{7}\).

Step 3: Simplify Fraction

As 24 and 7 have no common factors other than 1, the fraction \(\frac{24}{7}\) cannot be simplified any further. Therefore, \(\frac{24}{7}\) is already in its lowest terms