Chapter 1.4, Problem 37E

Cd x

To determine

To calculate:Thesimplified form of the expression $\frac{x/y}{z}$

Answer to Problem 37E

The simplified form of the expression is $\underset{\_}{\frac{x}{yz}}$

Explanation of Solution

Given information:

The expression is $\frac{x/y}{z}$

Formula used:

If a, b, care any numbers then $\frac{a}{\frac{b}{c}}$ it can be rewrite as $\frac{\frac{a}{b}}{\frac{c}{1}}$ and expressed by $\frac{a\times 1}{b\times c}$

Calculation:

Consider the provided expression $\frac{x/y}{z}$

Recall that,

If a, b, care any numbers then $\frac{a}{\frac{b}{c}}$ it can be rewrite as $\frac{\frac{a}{b}}{\frac{c}{1}}$ and expressed by $\frac{a\times 1}{b\times c}$ Apply it in the above expression.

Re-write the given problem as:

  $\frac{x/y}{z}=\frac{\frac{x}{y}}{\frac{z}{1}}$

Invert the divisor and multiply,

  $\frac{\frac{x}{y}}{\frac{z}{1}}=\frac{x}{y}\times \frac{1}{z}$

Multiply numerator and denominator,

  $\frac{\frac{x}{y}}{\frac{z}{1}}=\frac{x}{yz}$

Thus, the simplified form of the expression is $\frac{x}{yz}$