Answered

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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?

Sagot :

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

[tex]8\frac{3}{4}=\frac{8\cdot4+3}{4}=\frac{32+3}{4}=\frac{35}{4}[/tex]

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

[tex]\frac{2}{4}\cdot7=\frac{14}{4}=\frac{7}{2}[/tex]

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

[tex]\frac{35}{4}-\frac{7}{2}=\frac{35\cdot2-7\cdot4}{8}=\frac{70-28}{8}=\frac{42}{8}=5.25[/tex]

Therefore, Clary is not in class for 5.25 hours.

The process to transform a mixed number into a fraction is

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