Question

HELP PLSS THIS IS A TEST (NO LINKS)

Answer 1

The answer is 4 Kilometers

Answer 2

Answer: $\frac{11}{2}$

Step-by-step explanation:

We need to count the total distance that all the students ran. We first need to identify that the X represents one student. So, we can see that 2 students ran 1/4 of a kilometer, 1 student ran 3/4 of a kilometer, etc.

Let's start off with the students we see that have ran $\frac{1}{4\\}$ of a kilometer.

There are two students who have done this, so we have:

= 2($\frac{1}{4\\}$)

= $\frac{1}{2}$

Next, we have the students that ran $\frac{3}{4}$ of a kilometer.

There is only one student that did this, so we have:

= 1 ($\frac{3}{4}$)

= $\frac{3}{4}$

Now, we have the students that ran 1$\frac{1}{4\\}$ of a kilometer, or $\frac{5}{4}$ of a kilometer.

There are two students who have done this, so we have:

= 2($\frac{5}{4}$)

= $\frac{10}{4}$

= $\frac{5}{2}$

Lastly, we have the students that ran 1$\frac{3}{4}$ of a kilometer, or $\frac{7}{4}$.

There is only one student who did this, so we have:

= 1 ( $\frac{7}{4}$)

= $\frac{7}{4}$

Since we have all the distances now, we have to add them up!

= $\frac{1}{2}$ + $\frac{3}{4}$ +  $\frac{5}{2}$ + $\frac{7}{4}$

We need to find a common denominator, which is 4.

= $\frac{2}{4}$ + $\frac{3}{4}$ + $\frac{10}{4}$+ $\frac{7}{4}$

= $\frac{22}{4}$

This can be simplified to:

= $\frac{11}{2}$

Hope this helps! :)