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Question
after school craig ran \\(\frac{3}{5}\\) of a mile, and his brother dylan ran \\(\frac{1}{2}\\) of a mile. how much farther did craig run than dylan? \\(\frac{\square}{\square}\\) miles fraction mixed number whole number submit
Step1: Find a common denominator
To subtract the fractions \(\frac{3}{5}\) and \(\frac{1}{2}\), we need a common denominator. The least common denominator of 5 and 2 is 10.
Rewrite the fractions with the common denominator:
\(\frac{3}{5}=\frac{3\times2}{5\times2}=\frac{6}{10}\)
\(\frac{1}{2}=\frac{1\times5}{2\times5}=\frac{5}{10}\)
Step2: Subtract the fractions
Now subtract the two fractions:
\(\frac{6}{10}-\frac{5}{10}=\frac{6 - 5}{10}=\frac{1}{10}\)
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\(\frac{1}{10}\)