Question

Use a unit rate to find the unknown value.2/4=?/16the unknown value is?

Answer 1

Let x be the unknown value.

Therefore we have

`(2)/(4)=(x)/(16)`

So we can inform from the first term that the denominator is double the numerator, since this term is equal to second term with the unknown x, same applies there also.

So,

`\begin{gathered} 2x=16 \\ x=(16)/(2)=8 \end{gathered}`

This can be further confirmed by applying cross multiplication,

`\begin{gathered} (2)/(4)=(x)/(16) \\ 16*2=4x \\ x=(16*2)/(4)=8 \end{gathered}`