Question

Rachel practiced 1/2 of an hour on Monday, 1/3 of an hour on Tuesday, 1/4 of an hour on both Wednesday and Thursday, and 1/2 of an hour on Friday. Find how many minutes she practiced each day and then find how many minutes she practiced in all during the week.

Answer 1

ANSWER and EXPLANATION

We want to find the number of minutes she practiced each day and in total.

An hour is equal to 60 minutes.

On Monday, she practiced 1/2 of an hour. To convert this to minutes, multiply 1/2 by 60 minutes. That is:

$\begin{gathered} \frac{1}{2}\cdot60 \\ \Rightarrow30\min \end{gathered}$

On Tuesday, she practiced for 1/3 of an hour. That is:

$\begin{gathered} \frac{1}{3}\cdot60 \\ \Rightarrow20\min \end{gathered}$

On Wednesday, she practiced for 1/4 of an hour. That is:

$\begin{gathered} \frac{1}{4}\cdot60 \\ \Rightarrow15\min \end{gathered}$

On Thursday, she practiced for 1/4 of an hour. That is also equal to:

$\Rightarrow15\min$

On Friday, she practiced for 1/2 of an hour. That is equal to:

$=>30\min$

To find the total number of minutes that she practiced in all during the week, find the sum of the number of hours for all the days given.

$\begin{gathered} 30+20+15+15+30 \\ \Rightarrow110\min \end{gathered}$

She practiced for 110 minutes during the week.