Q13. - Algebra 1

Question

Determine whether each pair of ratios are equivalent ratios. Write yes or no. 

 

$\frac{29.2}{10.4},\frac{7.3}{2.6}$

Step-by-Step Solution

Answer

Yes, the pair of ratios $\frac{29.2}{10.4},\frac{7.3}{2.6}$ are equivalent ratios.

Step-1. Define equivalent ratios.

Equivalent ratios are two ratios which have same relationship between the numbers.

Step-2. Simplify the ratios.

Simplify both the ratios by dividing them with the common factor, if there is any.

$$\begin{gathered} \frac{29.2}{10.4}=\frac{292}{104} \\ =\frac{\cancel{4}\times 73}{26\times \cancel{4}} \\ =\frac{73}{26} \end{gathered}$$

And,

$\frac{7.3}{2.6}=\frac{73}{26}$

Step-3. State the conclusion.

As, both the results are equal, that is., $\frac{73}{26}=\frac{73}{26}$, therefore, yes, the given ratios are equivalent.