Questions: Match each of the following expressions to an equivalent expression shown in the bins below. Consider each of the expressions to be as you would type them into a typical calculator. For example, if you type x(y / z) into your calculator, this would be equivalent to x times y/z.

Match each of the following expressions to an equivalent expression shown in the bins below. Consider each of the expressions to be as you would type them into a typical calculator. For example, if you type x(y / z) into your calculator, this would be equivalent to x times y/z.
Transcript text: Match each of the following expressions to an equivalent expression shown in the bins below. Consider each of the expressions to be as you would type them into a typical calculator. For example, if you type $x(y / z)$ into your calculator, this would be equivalent to $x \times \frac{y}{z}$.
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Solution

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Solution Steps

Step 1: Identify the given expressions

We are given two expressions to match with their equivalent forms:

  1. \( \frac{x}{yz} \)
  2. \( \frac{x}{y} / z \)
Step 2: Simplify the first expression

The first expression is \( \frac{x}{yz} \). This can be interpreted as: \[ \frac{x}{yz} = x \times \frac{1}{yz} \]

Step 3: Simplify the second expression

The second expression is \( \frac{x}{y} / z \). This can be interpreted as: \[ \frac{x}{y} / z = \left( \frac{x}{y} \right) \times \frac{1}{z} = \frac{x}{y} \times \frac{1}{z} = \frac{x}{yz} \]

Final Answer

Both expressions \( \frac{x}{yz} \) and \( \frac{x}{y} / z \) are equivalent to: \[ \boxed{\frac{x}{yz}} \]

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