Question

What two numbers are located 3/8 of a unit from 1/2 on a number line? Show your work . (Please help me!!!)

Answer 1

3/8 unit from 1/2 means you have to add 3/8 to 1/2 to get one of the numbers and subtract 3/8 from 1/2 to get the other number.
If you think of it on the number line, 3/8 from 1/2 is just addition when you move to the right and subtraction when you move to the left.

1) So to subtract fractions, you have to find a common denominator. The common denominator between 1/2 and 3/8 is 8. That means we have to multiply 1/2 by 4/4 (which is equal to 1).

`(1)/(2) * (4)/(4) = (4)/(8)`.

Now we can find
`(4)/(8)- (3)/(8)`:

`(4)/(8)- (3)/(8) = (1)/(8)`

One of your numbers is 1/8

2) To add fractions, we also need a common denominator. We already found the common denominator in part one, so all we need to do is add 3/8 and 4/8 to find your second number:

`(4)/(8)+ (3)/(8) = (7)/(8)`

Your second number is 7/8.
Your two numbers are 1/8 and 7/8.