Question

A miner is working at an elevation of -64 5/8 m, then ascends 22 3/4 m. What is the new location of the miner?

Answer 1

-42
`(1)/(4)`

Explanation:

Change both numbers into improper fractions.

-64
`(5)/(8)` The answer will be negative. Multiply 8 by 64 and add 5. That will be your numerator (top number). The denominator will reman 8.

`(-517)/(8)`

We will do the same thing for 22
`(3)/(4)` (4 X 22 +3) over 4.

`(91)/(4)`

`(-517)/(8)` +
`(91)/(4)` I need a common denominator. That number would be 8. I need to multiple the top and bottom of the second fraction by 2.

`(-517)/(8)` +
`(182)/(8)` Subtract the two nominators, keep the denominator the same and the answer will be negative.

`(-330)/(8)` = -42
`(1)/(4)`