Question

select from the drop-down menus to complete each statement. the ratio represented by the tape diagram on top is choose... : choose..., and the ratio represented by the tape diagram on bottom is choose... : choose.... these ratios choose... equivalent.

Explanation:

Step1: Identify top diagram ratio

Count shaded (2) and total (4) boxes. Ratio: $2:4$

Step2: Simplify top ratio

Divide both by 2: $\frac{2}{2}:\frac{4}{2}=1:2$

Step3: Identify bottom diagram ratio

Count shaded (3) and total (6) boxes. Ratio: $3:6$

Step4: Simplify bottom ratio

Divide both by 3: $\frac{3}{3}:\frac{6}{3}=1:2$

Step5: Compare simplified ratios

Both equal $1:2$, so they are equivalent.

Answer:

The ratio represented by the tape diagram on top is $\boldsymbol{2:4}$ (or simplified $\boldsymbol{1:2}$), and the ratio represented by the tape diagram on bottom is $\boldsymbol{3:6}$ (or simplified $\boldsymbol{1:2}$). These ratios $\boldsymbol{are}$ equivalent.