Question

alicia has pencils and markers as shown in the tape diagram. write the ratio of markers to pencils in three different ways.
pencils
markers
be sure the terms in each ratio are in the correct order.

Explanation:

Step1: Count the number of markers and pencils

From the tape diagram, the number of pencils is 6 (since there are 6 boxes for pencils) and the number of markers is 8 (since there are 8 boxes for markers).

Step2: Write the ratio in fraction form

The ratio of markers to pencils in fraction form is $\frac{\text{Number of Markers}}{\text{Number of Pencils}}=\frac{8}{6}$. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2. So, $\frac{8\div2}{6\div2}=\frac{4}{3}$. But we can also present the original ratio. So the fraction form can be $\frac{8}{6}$ (or simplified $\frac{4}{3}$).

Step3: Write the ratio in colon form

The ratio of markers to pencils in colon form is $\text{Number of Markers}:\text{Number of Pencils}=8:6$ (or simplified $4:3$).

Step4: Write the ratio in word form

The ratio of markers to pencils in word form is "8 to 6" (or "4 to 3" when simplified).

Answer:

The three ways to write the ratio of markers to pencils are: $\frac{8}{6}$ (or $\frac{4}{3}$), $8:6$ (or $4:3$), and "8 to 6" (or "4 to 3"). (If we consider the original counts without simplifying, the three ways are $\frac{8}{6}$, $8:6$, and "8 to 6"; if we simplify, they are $\frac{4}{3}$, $4:3$, and "4 to 3".)