Question

The ratio of 8th graders in a chess club to the total number of members is 0.45.What is the decimal in fraction form?Enter the correct answers in the boxes.

Answer 1

The ratio of 8th graders in a chess club to the total number of members is 0.454545...

This is called a repeating decimal.

Let us convert this decimal into a fraction.

`x=0.4545\ldots`

Step 1:

Multiply by 100

`\begin{gathered} 100* x=100*0.4545\ldots \\ 100x=45.45\ldots \end{gathered}`

Step 2:

Subtract x

`\begin{gathered} 100x-x=45.45\ldots-0.4545 \\ 99x=45 \end{gathered}`

Step 3:

Finally, divide by 99

`\begin{gathered} (99x)/(99)=(45)/(99) \\ x=(45)/(99) \end{gathered}`

Therefore, the fraction form is

`x=(45)/(99)`