Problem 50 - Introductory Algebra for College Students

Question

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{7}{4} \cdot \frac{6}{11}$$

Step-by-Step Solution

Answer

Therefore, the simplified version of the result is \(\frac{21}{22}\).

Step 1: Multiply the numerators

To begin, multiply the numerators of the fractions. In this case, multiply 7 and 6 to get 42.

Step 2: Multiply the denominators

Next, multiply the denominators of the fractions. So, multiply 4 and 11 to get 44.

Step 3: Write result as fraction

Now write the results as a new fraction, so, \(\frac{42}{44}\).

Step 4: Reduce to lowest terms

Then, simplify the fraction to its lowest terms. Both 42 and 44 are divisible by 2. So, divide both numerator and denominator by 2. We get \(\frac{21}{22}\).