Question

Clary's school day is 8 3/4 hours. She has seven classes that are 2/4 hours long. How many hours is Clary not in class while she is at school?

Answer 1

We know that

• Clary's school day is 8 3/4 hours.

,

• She has seven classes that are 2/4 hours long.

First, we have to transform the mixed number into a fraction

`8(3)/(4)=(8\cdot4+3)/(4)=(32+3)/(4)=(35)/(4)`

Now, we multiply all seven classes by 2/4 hours to find the total amount of time she has been in class.

`(2)/(4)\cdot7=(14)/(4)=(7)/(2)`

Then, we subtract school day hours with 7/2.

`(35)/(4)-(7)/(2)=(35\cdot2-7\cdot4)/(8)=(70-28)/(8)=(42)/(8)=5.25`

Therefore, Clary is not in class for 5.25 hours.

The process to transform a mixed number into a fraction is