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I traveled from Vertex Valley to Fraction Falls last week. I completed 3/5 of the distance in the morning and 2/3 of the remaining distance in the afternoon. I still had 6 miles to travel. What is the distance from Vertex Valley to Fraction Falls?

 Dec 21, 2021
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Completing 3/5 ths leaves 2/5 ths

   completing 2/3 of this is   2/3 (2/5) = 4/15ths      

           so you completed   3/5  +  4/15  = 13/15ths completed  ....this leaves 2/15ths and this is equal to 6 miles

 

2/15 x = 6

x = 6 (15/2) = 45 miles

 Dec 21, 2021

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