Question

The population of Gilbert increased 275%. Which of the following are equivalent to 275%?

275 - (Yes or no)
27 1/2 - (Yes or no)
2 3/4 - (Yes or no)
11/4 - (Yes or no)
2.75 - (Yes or no)

Answer 1

From the question we were asked to find the equivalent of 275%

A percentage of a number is that number obtained when it is broken up into 100 parts

Therefore,

We have to divide 275 by 100 and reduce to its lowest term

275%=

`\begin{gathered} =(275)/(100) \\ =2(75)/(100) \\ \text{reducing to the lowest term we have by dividing by 25 we w}ill\text{ have} \\ =2(3)/(4) \\ \text{changing to decimal we have ,} \\ =2.75 \end{gathered}`

If we change

`\begin{gathered} 2\frac{3}{4\text{ }} \\ to\text{ a mixed fractrion we have,} \\ (4*2+3)/(4)=(8+3)/(4)=(11)/(4) \end{gathered}`

We can therefore conclude that the question has multple answers with a YES.

`\begin{gathered} 2(3)/(4)\text{ (YES)} \\ \frac{11}{4\text{ }}\text{ (YES)} \\ 2.75\text{ (YES)} \\ \text{While the rest of the option are NO} \\ 275\text{ (NO)} \\ 27(1)/(2)\text{ (NO)} \end{gathered}`