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].
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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