Question

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2 2 1 ​ 2, start fraction, 1, divided by, 2, end fraction meters. Then he climbed straight up 6\dfrac{3}{4}6 4 3 ​ 6, start fraction, 3, divided by, 4, end fraction meters. Eric was wondering what his change in elevation was after these two moves.

Answer 1

Answer:

Hence, Eric's elevation changed $4\frac{1}{4}$ meters above. So after the 2 moves, he is up by $4\frac{1}{4}$ meters.

Step-by-step explanation:

Let us assume "negative" as climbing up and  "positive" as climbing up. Here we need to find the change in elevation.

1. $2\frac{1}{2}$ meters down means $-2\frac{1}{2}$.
2. $6\frac{3}{4}$ meters up means $+6\frac{3}{4}$.

Now we have:  

$=-2\frac{1}{2} + 6\frac{3}{4}\\\\=-\frac{5}{2} +\frac{27}{4} \\\\=\frac{-5(2)+27}{4} \\\\=\frac{-10+27}{4} \\\\=\frac{17}{4} = 4\frac{1}{4}$