Last week you worked the following hours: Monday, 5½ Wednesday, 6¾ Friday, 4½ How many hours did you work in all last week? A. 16¾ B. 17½ C. 17¾ D. 18½

Respuesta :

Answer:

A. 16¾

Step-by-step explanation:

We will convert all the mixed fractions to improper fractions.

Monday, 5½ = [tex]\frac{11}{2}[/tex]

Wednesday, 6¾ = [tex]\frac{27}{4}[/tex]

Friday, 4½ = [tex]\frac{9}{2}[/tex]

Now, we will add all these fractions by taking the LCM of denominator.

The LCM of 2,4 and 2 is 4.

We get the following result after addition.

[tex]\frac{11}{2} +\frac{27}{4} +\frac{9}{2}[/tex]

= [tex]\frac{22+27+18}{4}[/tex]

= [tex]\frac{67}{4}[/tex] hours

In mixed fraction it becomes 16¾ hours.