There was 5/8 of a pie left in the fridge. Kara ate 1/4 of the leftover pie. How much of a pie did she eat?
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Answer:
15 / 32
Step-by-step explanation:
There is 5 / 8 of a pie left in the fridge, so let the total amount of pie was x .
pie left in the fridge = 5 / 8 of x = 5x / 8
Kara ate 1 / 4 of the left over pie, so remaining pie will be : ( 5 x / 8 ) - ( 1 / 4 of 5 x / 8 )
Remaining pie = { 5x / 8 } { 1 - 1 / 4 }
Remaining pie = { 5x / 8 }{ ( 4 - 1 ) / 4 }
Remaining pie = { 5x / 8 }{ 3 / 4 }
Remaining pie = 5x / 8 × 3 / 4
Remaining pie = 15 x / 32
Therefore, now 15 / 32 of the pie is left in the fridge.
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