Problem 45 - Introductory Algebra for College Students

Question

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$9 \cdot \frac{4}{7}$$

Step-by-Step Solution

Answer

The result is \( \frac{36}{7} \)

Step 1 - Perform the Multiplier Operation

Multiply the numerator of the fraction \( \frac{4}{7} \) by the number outside the fraction. In this case, the number outside the fraction is 9, so proceed as follows: \(9 \cdot \frac{4}{7}\) = \( \frac{9 \cdot 4}{7} \)

Step 2 - Calculate Numerator

Next, multiply the numbers on the numerator to get the new numerator. This results into: \( \frac{9 \cdot 4}{7} = \frac{36}{7} \)

Step 3 -Simplify if possible

The fraction \( \frac{36}{7}\) cannot be simplified further as there are no common factors between 36 and 7. Hence, \( \frac{36}{7} \) is in its simplest form.