On her annual road trip to visit her family, Traci stopped to rest after she traveled of the total distance. She stopped again after she traveled of the distance remaining between her first stop and her family’s home. She then drove the remaining 200 miles and arrived safely at her destination. What was the total distance, in miles, Traci traveled from her starting point to her family’s home?

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The ACT Mathematics Test contains 60 questions to be answered in 60 minutes.  The hardest ACT math questions (the last 10 to 15 questions) fall into two types: advanced concepts and complex questions. Advanced concepts questions cover what you learn in precalculus and trigonometry. FYI: Students that get into Harvard College have an ACT score of 34–36.

On her annual road trip to visit her family, Traci stopped to rest after she traveled <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02159.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mfrac><m:mn>1</m:mn><m:mn>3</m:mn></m:mfrac></m:mrow></m:math>--> of the total distance. She stopped again after she traveled <img alt='images' src='https://www.fatskills.com/images2/ACT/eq02160.png'/><!--<m:math display='inline' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mrow><m:mfrac><m:mn>1</m:mn><m:mn>4</m:mn></m:mfrac></m:mrow></m:math>--> of the distance remaining between her first stop and her family’s home. She then drove the remaining 200 miles and arrived safely at her destination. What was the total distance, in miles, Traci traveled from her starting point to her family’s home?