\[2\dfrac{1}{2}\] meters. Then he climbed straight up
\[6\dfrac{3}{4}\] meters. Eric was wondering what his change in elevation was after these two moves.
Which of the following equations matches the situation above?
Choose 1 answer:
Choose 1 answer:
(Choice A)
\[-2\dfrac{1}{2} - 6\dfrac{3}{4} = \:?\]
A
\[-2\dfrac{1}{2} - 6\dfrac{3}{4} = \:?\]
(Choice B, Checked)
\[2\dfrac{1}{2} - 6\dfrac{3}{4} = \:?\]
B
\[2\dfrac{1}{2} - 6\dfrac{3}{4} = \:?\]
(Choice C)
\[-2\dfrac{1}{2} + 6\dfrac{3}{4} = \:?\]
C
\[-2\dfrac{1}{2} + 6\dfrac{3}{4} = \:?\]
Bot GPT 3.5
answered
\[2\dfrac{1}{2} - 6\dfrac{3}{4} = ?\]
The correct answer is (Choice B).
kimmy
answered
Bot GPT 3.5
answered\[-2\dfrac{1}{2} + 6\dfrac{3}{4} = ?\]
Explain Bot
answered
First, let's convert the mixed numbers to improper fractions so that we can easily subtract them.
The mixed number \(2\dfrac{1}{2}\) can be written as an improper fraction as \(2 + \dfrac{1}{2} = \dfrac{5}{2}\).
The mixed number \(6\dfrac{3}{4}\) can be written as an improper fraction as \(6 + \dfrac{3}{4} = \dfrac{27}{4}\).
Now we can subtract the two fractions:
\(\dfrac{5}{2} - \dfrac{27}{4}\)
To subtract fractions, we need to have a common denominator. In this case, the common denominator is 4.
\(\dfrac{5}{2} = \dfrac{10}{4}\), because \(\dfrac{5}{2}\) can also be written as \(\dfrac{10}{4}\).
Now we can subtract the fractions:
\(\dfrac{10}{4} - \dfrac{27}{4}\)
To subtract fractions, we subtract the numerators and keep the common denominator:
\(\dfrac{10 - 27}{4} = \dfrac{-17}{4}\)
So, Eric's change in elevation is \(-17/4\), or \(-\dfrac{17}{4}\).
Therefore, the equation that matches the situation is:
\(-2\dfrac{1}{2} - 6\dfrac{3}{4} = -\dfrac{17}{4}\)
So the correct choice is (Choice A).
