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Sean and his sister, Betty equally mow 8/9th the total area of a lawn. What fraction of the total area did each of them mow? (Show ur work plz)

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Since they mowed [tex]\frac{8}{9}[/tex] of the lawn in two equal parts, we need to split the pieces that were mowed into two equal groups. We know that in total they mowed 8 out of the total 9 pieces of lawn, so two equal groups that make 8 would be of size 4, since [tex]\frac{8}{2}=4[/tex]. Then they each mowed [tex]\frac{4}{9}[/tex] of the lawn.
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Using the division operation, the fraction of the total area mowed by each person is [tex] \frac{4}{9}[/tex]

Total fraction mowed = [tex] \frac{8}{9}[/tex]

Number of persons who mowed the area = 2

Since, the same amount of area ws mowed by each person, then the area mowed per person can be calculated thus :

  • Total Area mowed ÷ number of persons

[tex] \frac{48}{9} \div 2 = \frac{4}{9}[/tex]

Hence, each person mowed [tex] \frac{4}{9}[/tex]

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