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!

Respuesta :

Answer:

[tex]9\dfrac{1}{2}[/tex]

Step-by-step 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 = [tex]4\dfrac{2}{3}[/tex]

Friend = [tex]5\dfrac{5}{6}[/tex]

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

Total Pounds = [tex]4\dfrac{2}{3}+5\dfrac{5}{6}[/tex]

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

[tex]=4+5+\dfrac{2}{3}+\dfrac{5}{6}[/tex]

[tex]=9+\dfrac{2}{3}+\dfrac{5}{6}[/tex]

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

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

[tex]\dfrac{2*2}{3*2}=\dfrac{4}{6}[/tex]

So now we have:

[tex]=9+\dfrac{4}{6}+\dfrac{5}{6}[/tex]

[tex]=9+\dfrac{9}{6}or1\dfrac{1}{2}[/tex]

[tex]Total Pounds = 10\dfrac{1}{2}[/tex]

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.

[tex]20-10\dfrac{1}{2}[/tex]

[tex]=9\dfrac{1}{2}[/tex]

So Kimane and his friend still need to get [tex]9\dfrac{1}{2}[/tex] more pounds of apples to get 20 pounds of apples.