his morning, the temperature rose 2 degrees in 

2

3

 of an hour. At what rate did the temperature rise?

Simplify your answer and write it as a proper fraction, mixed number, or whole number.

To find the rate at which the temperature rose, we need to determine how many degrees it rose per hour, given that it rose 2 degrees in \(\frac{2}{3}\) of an hour.

**Step 1: Set up the expression for the rate of temperature rise**

We know the temperature rose 2 degrees in \(\frac{2}{3}\) of an hour. The rate of temperature rise can be calculated as:

\[
\text{Rate of temperature rise} = \frac{2 \text{ degrees}}{\frac{2}{3} \text{ hour}}
\]

**Step 2: Simplify the expression**

To divide by a fraction, we multiply by its reciprocal. The reciprocal of \(\frac{2}{3}\) is \(\frac{3}{2}\). So, we multiply 2 degrees by \(\frac{3}{2}\):

\[
\text{Rate of temperature rise} = 2 \times \frac{3}{2}
\]

\[
\text{Rate of temperature rise} = \frac{6}{2}
\]

\[
\text{Rate of temperature rise} = 3 \text{ degrees per hour}
\]

Therefore, the temperature rose at a rate of **3 degrees per hour**.

Would you like further details or have any questions?

Here are some related questions to expand your understanding:

1. If the temperature rose 5 degrees in \(\frac{3}{4}\) of an hour, what would be the rate of rise?
2. What would the rate be if the temperature rose 4 degrees in 1 hour?
3. How would you calculate the rate if you only know the time in minutes?
4. If the temperature rose 1 degree in \(\frac{1}{2}\) of an hour, what is the rate of rise?
5. How can you use this method to find out how fast a car is traveling if you know the distance and time?

**Tip:** When solving for rates, always remember to divide the quantity of interest by the time, and simplify the fraction for an accurate rate!

Learn how to calculate the rate of temperature rise when given the change in temperature over a fraction of an hour. This problem involves understanding rates of change and division of fractions in a practical context. Suitable for Grades 5-7.

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