Question

drag each item to the appropriate bin.
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(x/y)z x/y/z xy/z x/(yz) x/yz
\\(\frac{xy}{z}\\) \\(\frac{x}{yz}\\) \\(\frac{xz}{y}\\)

Explanation:

Step1: Simplify each expression

1. $(x/y)/z = \frac{x}{y} \div z = \frac{x}{y} \times \frac{1}{z} = \frac{x}{yz}$
2. $x/(y/z) = x \div \frac{y}{z} = x \times \frac{z}{y} = \frac{xz}{y}$
3. $xy/z = \frac{xy}{z}$
4. $x/(yz) = \frac{x}{yz}$
5. $x/yz = \frac{x}{yz}$

Step2: Match to correct bins

Group each original expression with its simplified equivalent bin.

Answer:

• Bin $\boldsymbol{\frac{xy}{z}}$: $xy/z$
• Bin $\boldsymbol{\frac{x}{yz}}$: $(x/y)/z$, $x/(yz)$, $x/yz$
• Bin $\boldsymbol{\frac{xz}{y}}$: $x/(y/z)$