Question

Which ratio is an equivalent ratio to the tape diagram? Select all that apply.12 to 153 to 48 to 104 to 10

Answer 1

Notice that the blue bar has 4 blocks while the green bar has 5 blocks.

Then, the ratio represented on the diagram is 4:5

Notice also that this ratio can be written in several different forms. Check each option to see if the ratio is equal to 4:5. To do so, write each ratio as a fraction in its simplest form:

12 to 15

$\frac{12}{15}=\frac{12/3}{15/3}=\frac{4}{5}$

3 to 4

Its already in its simplest form:

$\frac{3}{4}$

8 to 10

$\frac{8}{10}=\frac{8/2}{10/2}=\frac{4}{5}$

4 to 10

$\frac{4}{10}=\frac{4/2}{10/2}=\frac{2}{5}$

Therefore, the ratios that are equivalent to that in the diagram, are:

$\begin{gathered} \text{ 12 to 15} \\ \text{ 8 to 10} \end{gathered}$