Question

Please see attached picture below to help me pleaseplot 1 1/2 and 2 1/4 on the number line

Answer 1

The given mixed numbers are:

`1(1)/(2),2(1)/(4)`

The first thing we need to do is convert it into improper fractions, as follows:

`\begin{gathered} 1(1)/(2)=(1*2)/(2)+(1)/(2) \\ 1(1)/(2)=(2)/(2)+(1)/(2) \\ 1(1)/(2)=(3)/(2) \end{gathered}`

Now, continue with 2 1/4:

`\begin{gathered} 2(1)/(4)=(2*4)/(4)+(1)/(4) \\ 2(1)/(4)=(8)/(4)+(1)/(4) \\ 2(1)/(4)=(9)/(4) \end{gathered}`

In order to plot them on the number line, for the first fraction 3/2, we need to divide the unity into 2 equal parts, and then count 3 of these divisions, that would be 1 1/2 or 3/2, is the same:

Now for the 2 1/4 or 9/4 (they are the same), we need to divide the unity into 4 equal parts and then count 9 of these divisions, then: