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11 November, 10:52

lindsey ran 8 7/9 + (-4 4/5) miles todayvl. Andrew ran 35/6 - 32/15 miles today. amayeta ran 7/2 + 17/45 miles today. who ran the most miles today. justify your response.

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  1. 11 November, 13:46
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    Amayeta ran the most miles.

    Explanation:

    first, I solved for Lindsey. I found a common denominator of 45, and made each fraction have a denominator of 45. I ended up with 8 35/45 + (-4 36/45) after I subtracted I got 3 44/45.

    then I solved for Andrew. I found a common denominator of 30. I made each fraction have a denominator of 30. I ended up with 175/30-64/30. after I subtracted I ended up with 111/30, or 3 7/10.

    then I solved for Amayeta. I found a common denominator of 90, and made each fraction have a denominator of 90. I ended up with 315/90+34/90. after I subtracted I got 359/90, or 3 89/90.

    finally, I had to compare each fraction. all three answers had a common denominator of 90. so, I changed each fraction to have a denominator of 90. I ended up with 3 88/90, 3 63/90, and 3 89/90. The last one, which was equal to the sum of Amayeta, was the biggest, therefore showing that Amayeta ran the most miles.
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