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Algebra 1

Carter, Cuevas, Day, Holiday, Luchin

$Math Studyset Vaia Explanations$ Math

Student Edition · 801 pages

ISBN: 9780078884801

Chapter 12: Q7. (page 737)

Find each product.
$\frac{5}{4} \cdot \frac{2}{3}$

Short Answer

Expert verified

The product is $\frac{5}{6}$ .

Step by step solution

01

Step 1. Define the concept.

Multiplying rational numbers: - Let a, b, c, and d be numbers with $b \neq 0$ and $d \neq 0$ . Then $\frac{a}{b} \cdot \frac{c}{d} = \frac{a c}{b d}$ .

02

Step 2. Multiply the numerator and denominator.

To find the product of the expression, first multiply the numerator and denominator.

$\frac{5}{4} \cdot \frac{2}{3} = \frac{5 \cdot 2}{4 \cdot 3}$

03

Step 3. Simplify.

Further simplify the expression.

$\frac{5}{4} \cdot \frac{2}{3} = \frac{10}{12} = \frac{5}{6}$

Therefore, the product is $\frac{5}{6}$ .

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