/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 145 Perform the indicated operation.... [FREE SOLUTION] | 91影视

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Chapter 0: Problem 145

Perform the indicated operation. Where possible, reduce the answer to its lowest terms. $$\frac{5}{4} \cdot \frac{8}{15}$$

Short Answer

Expert verified
The simplifed form of \( \frac{5}{4} \cdot \frac{8}{15} \) is \( \frac{2}{3} \)

Step by step solution

01

Multiply the Numerators and Denominators

First, multiply the numerators together to get the numerator of the answer: \(5 \cdot 8 = 40\). Next, multiply the denominators together to get the denominator of the answer: \(4 \cdot 15 = 60\). So, the answer at this stage is \( \frac{40}{60} \)
02

Reduce to Lowest Terms

Now, reduce the fraction to its lowest terms by finding the greatest common factor (GCF) of the numerator and denominator and then divide both by the GCF. Here, the GCF of 40 and 60 is 20. Divide 40 and 60 by 20 to get the reduced fraction of \( \frac{40}{20} / \frac{60}{20} = \frac{2}{3} \)

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