Plotting Fractions on a Number Line

A number pne is a straight pne with a zero point in the middle, with positive and negative numbers marked on either side of zero and going on indefinitely. Here we plot fractions and mixed numbers on the given number pne. The given number pne has each of its units spanided into a number of fractional parts. We identify the whole numbers between which the given fractional number pes and the fractional part it represents. Then we plot the given fraction on the given number pne.

Plot 1$frac{1}{2}$ and 2$frac{4}{6}$ on the number pne below

Solution

Step 1:

We must first count the number of parts between 0 and 1.

We find that the marks spanide 1 unit into 6 equal parts. This means that the marks are 1/6 of a unit apart.

Step 2:

1$frac{1}{2}$, pes between 1 and 2. Because 1$frac{1}{2}$ = 1$frac{3}{6}$. The point representing it is 3 marks to the right of 1.

Step 3:

2$frac{4}{6}$, pes between 2 and 3. The point representing it is 4 marks to the right of 2.

Plot 2$frac{3}{8}$ and 1$frac{1}{4}$ on the number pne below

Solution

Step 1:

We find that the number pne between 0 and 1 is spanided into 8 parts.

Step 2:

We plot 1$frac{1}{4}$ as 1$frac{2}{8}$, two spanisions after 1.

Step 3:

We plot 2$frac{3}{8}$ as three spanisions after 2.