The problem asks us to categorize multiplication expressions into three groups based on whether the product is greater than 60, equal to 60, or less than 60. The expressions are: $60 \times \frac{1}{3}$, $60 \times 1$, $60 \times \frac{5}{4}$, $60 \times \frac{1}{5}$, and $60 \times \frac{5}{6}$.

1. Problem Description

The problem asks us to categorize multiplication expressions into three groups based on whether the product is greater than 60, equal to 60, or less than

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0. The expressions are: $60 \times \frac{1}{3}$, $60 \times 1$, $60 \times \frac{5}{4}$, $60 \times \frac{1}{5}$, and $60 \times \frac{5}{6}$.

2. Solution Steps

First, we calculate the value of each expression:

$60 \times \frac{1}{3} = \frac{60}{3} = 20$

$60 \times 1 = 60$

$60 \times \frac{5}{4} = \frac{60 \times 5}{4} = \frac{300}{4} = 75$

$60 \times \frac{1}{5} = \frac{60}{5} = 12$

$60 \times \frac{5}{6} = \frac{60 \times 5}{6} = \frac{300}{6} = 50$

Now, we categorize each expression based on its value compared to 60:

Product > 60: $60 \times \frac{5}{4} = 75$

Product = 60: $60 \times 1 = 60$

Product < 60: $60 \times \frac{1}{3} = 20$, $60 \times \frac{1}{5} = 12$, $60 \times \frac{5}{6} = 50$

3. Final Answer

Product > 60: $(60 \times \frac{5}{4})$

Product = 60: $(60 \times 1)$

Product < 60: $(60 \times \frac{1}{3}, 60 \times \frac{1}{5}, 60 \times \frac{5}{6})$