# Chapter 1 - Introduction to Algebraic Expressions - 1.3 Fraction Notation - 1.3 Exercise Set - Page 28: 96

$\frac{5}{2z}$

#### Work Step by Step

$\frac{10x\times12\times25y}{2z\times30x\times20y}\longrightarrow$ Use prime factorization. $\frac{2\times5\times x\times2\times2\times3\times5\times5\times y}{2\times z\times2\times3\times5\times x\times2\times2\times5\times y}\longrightarrow$ Reorder factors. $\frac{2\times2\times2\times3\times5\times5\times5\times x\times y}{2\times2\times2\times2\times3\times5\times 5\times x\times y\times z}\longrightarrow$ Identify factors that cancel (indicated with a line over). $\frac{\overline{2\times2\times2\times3\times5\times5}\times5\times \overline{x}\times \overline{y}}{\overline{2\times2\times2}\times2\times\overline{3\times5\times 5}\times \overline{x}\times \overline{y}\times z}\longrightarrow$ Eliminate canceled factors. $\frac{5}{2z}$

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