Question

How to Write each decimal as a fraction or mixed number in the simplest form: 4.125

Answer 1

The given number is 4.125

Since there are 3 decimal places, then we can write the decimal part as a fraction with denominator 1000

`4.125=4(125)/(1000)`

Now, we can simplify the fraction by divide up and down by the same number

`\begin{gathered} (125)/(1000)=((125)/(5))/((1000)/(5))=(25)/(200) \\ (25)/(200)=((25)/(5))/((200)/(5))=(5)/(40) \\ (5)/(40)=((5)/(5))/((40)/(5))=(1)/(8) \end{gathered}`

Then the number is

`4(1)/(8)`

This is a mixed number in its simplest form

The answer is 4 1/8

`4(1)/(8)`