Chapter 6.6, Problem 14WE

To determine

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

Answer to Problem 14WE

  $0.1375=\frac{11}{80}$

Explanation of Solution

Given information :

Given number is 0.1375

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 0.1375

Therefore it needs to be multiplied and divided by 10000 to convert this in fraction.

  $0.1375\times \frac{10000}{10000}=\frac{1375}{10000}$

Now it needs to be converted into lowest terms.

  $\frac{1375}{10000}=\frac{125\times 11}{125\times 80}=\frac{11}{80}$