6. Tracie ran a total of \( 5 \frac{3}{4} \) miles on Saturday and Sunday. She ran \( 1 \frac{5}{8} \) miles on Saturday. How many miles did Tracie run on Sunday? A \( 3 \frac{7}{8} \) B \( 4 \frac{1}{8} \) C \( 4 \frac{1}{4} \) D \( 4 \frac{1}{2} \)
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To find out how many miles Tracie ran on Sunday, we need to subtract the distance she ran on Saturday from the total distance she ran on both days. First, convert \( 5 \frac{3}{4} \) miles to an improper fraction: \( 5 \frac{3}{4} = \frac{23}{4} \) Next, convert \( 1 \frac{5}{8} \) miles to an improper fraction: \( 1 \frac{5}{8} = \frac{13}{8} \) Now, we need a common denominator to subtract: The common denominator of 4 and 8 is 8. So, convert \( \frac{23}{4} \) to eighths: \( \frac{23}{4} = \frac{46}{8} \) Now subtract: \( \frac{46}{8} - \frac{13}{8} = \frac{33}{8} \) Convert \( \frac{33}{8} \) back to a mixed number: \( \frac{33}{8} = 4 \frac{1}{8} \) So, Tracie ran \( 4 \frac{1}{8} \) miles on Sunday. The answer is B.