A student completes 2/5 of a science project in 3/4 hour. At this rate, what fraction of the project can the student complete per hour?

Respuesta :

The fraction of the fence completed in one hour at a rate of  [tex]\frac{2}{5}[/tex] of the

fence in  [tex]\frac{3}{4}[/tex] hours is  [tex]\frac{8}{15}[/tex].

How can the fraction completed in one hour be found?

The fraction of the fence completed in [tex]\mathbf{\frac{3}{4}}[/tex] of an hour = [tex]\frac{2}{5}[/tex]

Required:

The fraction of the fence the student completes per hour;

Solution;

The time [tex]\mathbf{\frac{2}{5}}[/tex] of the fence is completed =  [tex]\frac{3}{4}[/tex] of an hour

Therefore;

[tex]The \ in \ \mathbf{\frac{\dfrac{3}{4} \ hour}{\dfrac{3}{4} \ hour}} = 1 \ hour \ the \ frraction \ completed = \dfrac{\dfrac{2}{5} }{\dfrac{3}{4} \ hour} = \dfrac{8}{15} \ per \ hour[/tex]

The fraction of the fence completed per hour = [tex]\underline{\frac{8}{15}}[/tex]

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