Question

a weather balloon floats into the sky from a valley. It starts at an elevation of -7 1/4 feet and floats up to an elevation of 88 6/8 feet before getting stuck at the top of a tree. How far did the balloon travel up

Answer 1

To find the distance the balloon traveled up, we need to find the difference between the starting elevation and the final elevation.

Starting elevation: -7 1/4 feet

Final elevation: 88 6/8 feet (which can be simplified to 88 3/4 feet)

To find the difference, we add the absolute value of the starting elevation to the final elevation:

Distance = |-7 1/4| + 88 3/4

First, let's convert the mixed numbers into improper fractions:

-7 1/4 = -(29/4)

88 3/4 = 355/4

Now, let's find the distance:

Distance = |-(29/4)| + (355/4)

Distance = (29/4) + (355/4)

Now, we can add the numerators:

Distance = (29 + 355) / 4

Distance = 384 / 4

Finally, let's convert the improper fraction back to a mixed number:

Distance = 96 feet

The weather balloon traveled up 96 feet.