Question

Alex and Greg share 24-ounce bucket of clay. By the end of the week, Alex has used 5/8 of the bucket, and Greg has used 1/4 of the bucket of clay. How many ounces are left in the bucket?

Answer 1

3 ounces.

Explanation:

First, we need to figure out how much of the clay has already been used. To do this we have to add the two known numbers.

`(5)/(8) +(1)/(4)`

But this doesn't work because the denominators are different. So we need to find the LCD or the least common denominator.

For this equation, the LCD is 8. So we turn the 4 into an 8 by multiplying it by 2 and we do the same to the top because whatever we do to the bottom we have to do to the bottom.

`(5)/(8) +(2)/(8)=(7)/(8)`

Now we can figure out how much clay is left by finding out what
`(1)/(8)` of 24 is.

So. . .
`24` ×
`(1)/(8)` is 3 because 24 divided by 8 equals 3 giving us our answer of 3 ounces of clay remaining.

Hope this helps. . .

UwU