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Answers without the blur. Sign up and see all textbooks for free! Q10.

Expert-verified Found in: Page 737 ### Algebra 1

Book edition Student Edition
Author(s) Carter, Cuevas, Day, Holiday, Luchin
Pages 801 pages
ISBN 9780078884801 # Find each product.$\frac{5}{12}\cdot \frac{6}{11}$

The product is $\frac{5}{22}$.

See the step by step solution

## Step 1. Define the concept.

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

## Step 2. Multiply the numerator and denominator.

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

$\frac{5}{12}\cdot \frac{6}{11}=\frac{5\cdot 6}{12\cdot 11}$

## Step 3. Simplify.

Further simplify the expression.

$\frac{5}{12}\cdot \frac{6}{11}=\frac{5\cdot 6}{12\cdot 11}\phantom{\rule{0ex}{0ex}}=\frac{30}{132}\phantom{\rule{0ex}{0ex}}=\frac{5}{22}$

Therefore, the product is $\frac{5}{22}$. ### Want to see more solutions like these? 