Q44. - Algebra 1

Question

Find the number of hours that Samantha practices flute in a month.

Step-by-Step Solution

Answer

Samantha practices flute for 18 hours in a month.

Step 1. Write down the given statement according to the question.

Consider the given statement “Samantha practices flute for $4\frac{1}{2}$ hours each week.”

Step 2. Convert mixed fraction to the proper fraction.

Convert $4\frac{1}{2}$ to proper fraction form as shown below.

 $$\begin{gathered} 4\frac{1}{2}=\frac{\left(4\right)\left(2\right)+1}{2} \\ =\frac{8+1}{2} \\ =\frac{9}{2} \end{gathered}$$

Now, the number of hours that Samantha practices flute in a month will be evaluated as when $4\frac{1}{2}$ is multiplied by 4. Therefore,

$$\begin{gathered} \left(4\frac{1}{2}\right)\left(4\right)=\frac{9}{2}·4 \\ =\frac{9·2·2}{2} \\ =18 \end{gathered}$$

Step 3. DESCRIPTION OF STEPS.

Samantha practices flute for 18 hours in a month.