Question

For the high jump, each competitor receives multiple opportunities to clear the bar at each height. On average, Shane completes 2 out of 3 jumps on the lowest bar, 4 out of 6 jumps on the middle bar, and 1 out of 4 jumps on the highest bar. Write an equation that you could use to find Shane’s overall average number of jumps completed. Calculate Shane’s average using the equation.

Answer 1

Answer: 19/36

Step-by-step explanation:

A mean equation is hidden in this word problem. Focus on the 2 out of 3, 4 out of 6, and 1 out of 4. Those numbers are actually fractions. Shane managed to complete 2/3 of the jumps on the lowest bar, he managed to complete 4/6 of the jumps on the middle bar, and 1/4 of the jumps on the highest bar.

Step 1: Write the mean equation

(2/3 + 4/6 + 1/4)/3 = x

Step 2: Find the common denominator

3, 6, and 4 are all factors of 12, so 12 is your common denominator

4(2/3) = 8/12

2(4/6) = 8/12

3(1/4) = 3/12

Now rewrite the equation with the common denominator

(8/12 + 8/12 + 3/12)/3 = x

Step 3: Sum the fractions

(19/12)/3 = x

Step 4: I

Invert and multiply

(19/12)/3 = 19/12 * 1/3 = 19/36

This is your answer.

Answer 2

19/36.

Explanation:

Shane’s average was 19/36 jumps completed. Here is the equation: (2/3+4/6+1/4) / 3 =a . 4/6 is = ⅔, so ⅔ + ⅔ = 4/3. ¼ is equal to 3/12 and 4/3 is equal to 16/12, and 16/12 + 3/12=19/12. 19/12 divided by three is 19.36, because it is.