Chapter 6.6, Problem 12WE

To determine

To write given decimal as a common fraction in lowest terms.

Answer to Problem 12WE

  $3.004=\frac{751}{250}$

Explanation of Solution

Given information :

Given number is 3.004

To convert a decimal in fraction we need to multiply numerator and denominator of the number with 10 for every digit after the decimal. For example if there is one digit after decimal then the numerator and denominator must be multiplied by 10. If there are 2 digits after decimal then the numerator and denominator should be multiplied by 100 and so on.

Here the given number is 3.004

Therefore it needs to be multiplied and divided by 1000 to convert this in fraction.

  $3.004\times \frac{1000}{1000}=\frac{3004}{1000}$

Now it needs to be converted into lowest terms.

  $\frac{3004}{1000}=\frac{4\times 751}{4\times 250}=\frac{751}{250}$