Question

Select all ratios equivalent to 4:5.20:2524:3025:20

Answer 1

Equivalent ratios are ratios that have the same proportion to each other when put in simplest form. They are sometimes refers to as equivalent fraction.

Given the ratio

`\begin{gathered} 4\colon5 \\ \text{change to fraction, we have } \\ (4)/(5) \end{gathered}`

To obtain the equivalence of the fraction above, we multiply the numertor and denominator by the same number.

hence

`\begin{gathered} (4)/(5)=(4*2)/(5*2)=(8)/(10) \\ \\ (4)/(5)=(4*3)/(5*3)=(12)/(15) \\ \\ (4)/(5)=(4*4)/(5*4)=(16)/(20) \end{gathered}`

Then, multiplying both by 5, we have the equivalent fraction

`\begin{gathered} (4)/(5)=(4*5)/(5*5)=(20)/(25) \\ \end{gathered}`

convert the fraction to ratio, we have

`(20)/(25)=20\colon25`

Therefore

Answer: The equivalent ratio to 4 : 5 is 20 : 25