Question

Kyle is collecting aluminum cans in 4 recycling boxes. Each box is 16 full of cans. If Kyle puts all of the cans into one box, which equation shows the fraction of the box that is filled with cans?

Answer 1

Given:

Number of recycling boxes = 4

Each box is $\dfrac{1}{6}$ full of cans.

Kyle puts all of the cans into one box.

To find:

The equation which shows the fraction of the box that is filled with cans.

Solution:

Since, Kyle puts all of the cans into one box, so the fraction of the box that is filled with cans is

$\text{Required fraction}=\text{Number of boxes}\times \text{Part of each box which is filled with cans}$

Let n be the number of recycling boxes, so, the required equation is

$\text{Required fraction}=n\times \dfrac{1}{6}$

$\text{Required fraction}=\dfrac{n}{6}$

Therefore, the required equation is $\text{Required fraction}=\dfrac{n}{6}$, where, n is number of recycling boxes.

Now, put n=4.

$\text{Required fraction}=\dfrac{4}{6}$

$\text{Required fraction}=\dfrac{2}{3}$

Therefore, the $\dfrac{2}{3}$ part of box is filled with cans.