Question

What are 3 ratios that are equivalent to the given ratio 4/9

Answer 1

Step 1

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.

Step 2

Multiply each numerator and denominator by 2, 3, and 4 to generate an equivalent ratio or fractions.

`\begin{gathered} (4)/(9)\text{ = }(4*2)/(9*2)\text{ = }\frac{4\text{ }*\text{ 3}}{9\text{ }*\text{ 3}}\text{ = }\frac{4\text{ }*\text{ 4}}{9\text{ }*4} \\ (4)/(9)\text{ = }(8)/(18)\text{ = }(12)/(27)\text{ = }(16)/(36) \end{gathered}`

Final answer

`\begin{gathered} (8)/(18)\text{ or 8:18} \\ \\ (12)/(27)\text{ or 12:27} \\ \\ (16)/(36)\text{ or 16:36} \end{gathered}`