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:

$10\frac{1}{2}\text{ }potatoes$

- And she can peel them in this time:

$\frac{1}{3}\text{ }hour$

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:

$10\frac{1}{2}=\frac{(10\cdot2)+1}{2}=\frac{20+1}{2}=\frac{21}{2}$

Now you can set up that:

$Unit\text{ }Rate=\frac{\frac{21}{2}\text{ }potatoes}{\frac{1}{3}\text{ }hour}$

Solving the Division, you get:

$\begin{gathered} Unit\text{ }Rate=\frac{21\cdot3}{2\cdot1}\frac{potatoes}{hour} \\ \\ Unit\text{ }Rate=\frac{63}{2}\frac{potatoes}{hour} \end{gathered}$

Hence, the answer is:

$Unit\text{ }Rate=\frac{63}{2}\frac{potatoes}{hour}$