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On 6 different days, Sydney read a book for [tex]\frac{4}{5}[/tex] of an hour. What was the total amount of time Sydney read her book on the 6 different days?

A. [tex]\frac{24}{30}[/tex] of an hour
B. [tex]\frac{10}{11}[/tex] of an hour
C. [tex]\frac{10}{5}[/tex] hours
D. [tex]\frac{24}{5}[/tex] hours

Answer :

Sydney read for [tex]$\frac{4}{5}$[/tex] of an hour each day over 6 days. To find the total reading time, we multiply the daily reading time by the number of days:

[tex]$$
6 \times \frac{4}{5} = \frac{6 \times 4}{5} = \frac{24}{5} \text{ hours}.
$$[/tex]

Thus, Sydney read for a total of [tex]$\frac{24}{5}$[/tex] hours over the 6 days.

The correct answer is [tex]$\boxed{\frac{24}{5}\text{ hours}}$[/tex].

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