PLEASE GIVE AN ACTUAL ANSWER IM DESPERATE:

If 1 1/2 cups of something fills
2/3 of a container, how many
cups fill the container?

Respuesta :

Answer:

[tex]2\frac{1}{4}[/tex] cups.

Step-by-step explanation:

We know that:

[tex]1\frac{1}{2} = \frac{2}{3}[/tex] of a container.

We can rewrite [tex]1\frac{1}{2}[/tex] as a decimal, this will make what we have to do next much easier:

[tex]1.5[/tex]

So if two [tex]1.5[/tex] cups take up [tex]\frac{2}{3}[/tex] of a container, we'll need to find what half of [tex]1.5[/tex] cups is (which will equal 1 cup of "something"), and then add that to [tex]1.5[/tex] (equals 2 cups of "something") to see what how many cups equate to [tex]\frac{3}{3}[/tex] (a full container.)

[tex]1.5[/tex] ÷ [tex]2=.75[/tex]

Therefore:

[tex].75=1[/tex] cup.

Add:

[tex]1.5+.75=2.25[/tex]

Rewrite the sum in fraction form:

[tex]2\frac{1}{4}[/tex]

~

You also could have multiplied:

[tex].75(3)=2.25[/tex]