Question

Kimane and a friend picked apples. Kimane picked 4 2/3 and his friend picked 5 5/6 pounds. About how many pound of apples do they need to pick to have about 20 pounds of apples altogether? Please help!

Answer 1

`9(1)/(2)`

Explanation:

To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.

Kimane =
`4(2)/(3)`

Friend =
`5(5)/(6)`

We add them together to find out how many pounds of apples they currently have.

Total Pounds =
`4(2)/(3)+5(5)/(6)`

Just to make the equation clearer, we separate the whole numbers from the fractions.

`=4+5+(2)/(3)+(5)/(6)`

`=9+(2)/(3)+(5)/(6)`

Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the
`/dfrac{2}{3}` into a fraction with the same denominator.

We multiply both the numerator and denominator by 2 to have the same denominator.

`(2*2)/(3*2)=(4)/(6)`

So now we have:

`=9+(4)/(6)+(5)/(6)`

`=9+(9)/(6)or1(1)/(2)`

`Total Pounds = 10(1)/(2)`

Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.

`20-10(1)/(2)`

`=9(1)/(2)`

So Kimane and his friend still need to get
`9(1)/(2)` more pounds of apples to get 20 pounds of apples.