Question

Jonathan will run a 6 1/4 mile relay with 4 other team members, where each team member runs an equal distance. How many miles will Jonathan tun?

Answer 1

First, we need to transform the mixed number into a fraction using the following expression:

`a(b)/(c)=(a\cdot c+b)/(c)`

So, 6 1/4 mile is equivalent to:

`6(1)/(4)=(6\cdot4+1)/(4)=(25)/(4)`

Then, we need to remember how to divide two fractions, so:

`((a)/(b))/((c)/(d))=(a\cdot d)/(b\cdot c)`

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:

`((25)/(4))/(5)=((25)/(4))/((5)/(1))=(25\cdot1)/(4\cdot5)=(25)/(20)=(5)/(4)\text{ miles}`

Therefore, Jonathan will run 5/4 miles

Answer: 5/4 miles