Question

Simplify each expression. $$ \frac{10}{11}(22 z) $$

   Simplify each expression.
$$
\frac{10}{11}(22 z)
$$

College Algebra and Trigonometry

College Algebra and Trigonometry

Margaret L. Lial,… 7th Edition

Chapter 0, Problem 127

Instant Answer

Solved by Expert James Kiss

08/17/2021

Step 1

Step 1: We can rewrite the expression as follows: $$ \frac{10}{11} \times 22z = \frac{10 \times 22z}{11} $$ Show more…

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Simplify each expression. $$ \frac{10}{11}(22 z) $$

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Key Concepts

Cancellation of Common Factors

This refers to the process of simplifying a fraction by removing factors that are common to both the numerator and the denominator. By identifying and canceling these factors, the expression is simplified without changing its value.

Algebraic Simplification

Algebraic simplification involves combining like terms and reducing expressions to their simplest form. This often includes applying properties such as distributive, associative, and commutative laws, along with the cancellation of common factors, to make the expression as straightforward as possible.

Multiplication of Fractions with Variables

This concept involves multiplying a fraction by an algebraic expression that includes variables. The process requires multiplying the numerator of the fraction by the entire expression while keeping the denominator intact, and then rewriting the result as a single fraction.

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