Question

How does knowing 1/5 of 10 help you find 3/5 of 10? Draw a picture to explain your thinking.

Answer 1

If the problem is,

`(1)/(5)\text{ of }10`

By finding it,

Take a 5 box grid in which each box represents 1 unit,

Then take 1 box of this grid,

Repeat this step,

Finally, Add them,

We get,

A grid having 10 boxes with 2 taken boxes,

Thus,
`(1)/(5)* 10=2`

When we do these steps for three grids we will get
`(3)/(5)* 10`,

That is, by multiplying the result of
`(1)/(5)* 10` by 3 we will obtain
`(3)/(5)* 10`

`(3)/(5)* 10=3* ((1)/(5)* 10)=3* 2=6`