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Chapter 5: Problem 58

Perform the indicated operations. If possible, reduce the answer to its lowest terms. \(\frac{5}{8} \cdot \frac{3}{11}\)

Short Answer

Expert verified
The multiplication of the two fractions \(\frac{5}{8}\) and \(\frac{3}{11}\) gives us \(\frac{15}{88}\).

Step by step solution

01

Multiply the Numerators

For multiplication of fractions, first, the numerators of all fractions are multiplied together. In our case, the numerators are 5 and 3. So, the multiplication of the numerators becomes \(5 * 3 = 15\).
02

Multiply the Denominators

The next step is to multiply the denominators of the fractions, which are 8 and 11 here. By multiplying these two numbers we get \(8 * 11 = 88\).
03

Write Result as a Fraction

Now write down your answer as a fraction where the output of the multiplication of numerators is at the numerator's place and the output of the multiplication of the denominators is at the denominator's place. So the answer becomes \(\frac{15}{88}\).
04

Simplification

Check if both the numerator and denominator have any common factors other than 1 which can be used to reduce the fraction. In this case, they do not. So, \(\frac{15}{88}\) is the fraction in its simplest or lowest terms.

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