Question

Amber can peel 10 1/2 potatoes in 1/3 of an hour. What is her unite rate

Answer 1

Given that:

- Amber can peel this amount of potatoes:

`10(1)/(2)\text{ }potatoes`

- And she can peel them in this time:

`(1)/(3)\text{ }hour`

You can determine that the Unit Rate is the number of potatoes she can peel per hour.

Since the number of potatoes is given as a Mixed Number, you can convert it to an Improper Fraction as follows:

1. Multiply the Whole Number part by the denominator.

2. Add the Product to the numerator.

3. The denominator does not change.

Then:

`10(1)/(2)=((10\cdot2)+1)/(2)=(20+1)/(2)=(21)/(2)`

Now you can set up that:

`Unit\text{ }Rate=\frac{(21)/(2)\text{ }potatoes}{(1)/(3)\text{ }hour}`

Solving the Division, you get:

`\begin{gathered} Unit\text{ }Rate=(21\cdot3)/(2\cdot1)(potatoes)/(hour) \\ \\ Unit\text{ }Rate=(63)/(2)(potatoes)/(hour) \end{gathered}`

Hence, the answer is:

`Unit\text{ }Rate=(63)/(2)(potatoes)/(hour)`