First, we need to transform the mixed number into a fraction using the following expression:
[tex]a\frac{b}{c}=\frac{a\cdot c+b}{c}[/tex]So, 6 1/4 mile is equivalent to:
[tex]6\frac{1}{4}=\frac{6\cdot4+1}{4}=\frac{25}{4}[/tex]Then, we need to remember how to divide two fractions, so:
[tex]\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot d}{b\cdot c}[/tex]Now, to calculate the number of miles that Jonathn will run, we need to divide the total number of miles (25/4 miles) by 5 friends, then:
[tex]\frac{\frac{25}{4}}{5}=\frac{\frac{25}{4}}{\frac{5}{1}}=\frac{25\cdot1}{4\cdot5}=\frac{25}{20}=\frac{5}{4}\text{ miles}[/tex]Therefore, Jonathan will run 5/4 miles
Answer: 5/4 miles
