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Chapter 5: Problem 63

Perform the indicated operations. If possible, reduce the answer to its lowest terms. \(\left(3 \frac{3}{4}\right)\left(1 \frac{3}{5}\right)\)

Short Answer

Expert verified
The result of the operation is 6

Step by step solution

01

Change Mixed Numbers to Improper Fractions

First, convert \(3 \frac{3}{4}\) and \(1 \frac{3}{5}\) to improper fractions. For \(3 \frac{3}{4}\), multiply 3 by 4 and add 3 to get the numerator. The denominator remains the same. So, \(3 \frac{3}{4}\) equals \(\frac{15}{4}\). Do the same for \(1 \frac{3}{5}\) to get \(\frac{8}{5}\)
02

Multiply the Improper Fractions

Then, multiply \(\frac{15}{4}\) and \(\frac{8}{5}\). Multiplication of fractions is straight forward - multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator. This gets \(\frac{120}{20}\)
03

Reduce to Lowest Terms

Finally, reduce \(\frac{120}{20}\) to its lowest terms. The numerator and the denominator both divide by 20 which reduces the fraction to \(\frac{6}{1}\) or just 6

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Most popular questions from this chapter

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