Question
A map indicates that a treasure is buried 8 1/2 feet below the surface. If you have already dug 5 feet how much further do you have to go? [__] [__]/[__]
Answers
GPT-4o mini
To find out how much further you need to go, you can subtract the depth you've already dug from the total depth indicated on the map.
The total depth is 8 1/2 feet, which can also be expressed as a fraction: \(8 \frac{1}{2} = \frac{17}{2}\) feet.
You have dug 5 feet. To perform the subtraction, it's helpful to express 5 feet as a fraction of the same denominator:
5 feet can be expressed as \( \frac{10}{2} \) feet.
Now, subtract the two:
\[
\frac{17}{2} - \frac{10}{2} = \frac{7}{2}
\]
This fraction \( \frac{7}{2} \) can also be converted back to a mixed number:
\[
\frac{7}{2} = 3 \frac{1}{2} \text{ feet.}
\]
Therefore, you have to go **3 [__] 1/2 [__]** feet further to reach the treasure.
The total depth is 8 1/2 feet, which can also be expressed as a fraction: \(8 \frac{1}{2} = \frac{17}{2}\) feet.
You have dug 5 feet. To perform the subtraction, it's helpful to express 5 feet as a fraction of the same denominator:
5 feet can be expressed as \( \frac{10}{2} \) feet.
Now, subtract the two:
\[
\frac{17}{2} - \frac{10}{2} = \frac{7}{2}
\]
This fraction \( \frac{7}{2} \) can also be converted back to a mixed number:
\[
\frac{7}{2} = 3 \frac{1}{2} \text{ feet.}
\]
Therefore, you have to go **3 [__] 1/2 [__]** feet further to reach the treasure.