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Sagot :
Michael mows 1/3 of the yard, and the remaining is for Mel,
Note that 1 whole yard is 1
So the remaining is 1 - 1/3 = 2/3
Mel can mow 3/4 of the entire yard in 1 hour :
So in 1 whole yard, Mel can mow it for :
[tex]\frac{1hr}{\frac{3}{4}}=\frac{4}{3}hr\text{ per yard}[/tex]Mel's rate in mowing 1 yard is 4/3 hrs
Since Mel will mow 2/3 of the yard, multiply it by her rate will be :
[tex]\frac{2}{3}\times\frac{4}{3}=\frac{8}{9}[/tex]8/9 or 0.89 hour
Note that multiplication can be expressed as division,
The number of hours Mel can finish mowing the yard is :
[tex]\begin{gathered} \text{hours}=\frac{\text{part of yard}}{\text{Mel's rate}} \\ \text{hours}=\frac{\frac{2}{3}}{\frac{4}{3}} \\ \text{hours}=\frac{8}{9} \end{gathered}[/tex]Since the answer is same, 8/9 hour is correct.
To summarize the answers :
1. 8/9 hr or 0.89 hr
2. 2/3, as explained above.
3. The division problem is :
[tex]\frac{2}{3}\div\frac{3}{4}[/tex]4. 8/9 hr or 0.89 hr
[tex]\frac{2}{3}\div\frac{3}{4}=\frac{2}{3}\times\frac{4}{3}=\frac{8}{9}[/tex]
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