# How do you convert to a decimal?

Jiaxin

Solution:

Step:1 To convert a fraction into a decimal, following procedure is used.

1. Observe the denominator of the fraction, if the denominator is a number which can be written in the form , where  are non-negative integers, then the fraction can be converted in a terminating decimal otherwise it is a non-terminating decimal.

2. Divide the numerator by denominator.

3. If the division is non-terminating or the division is too long, then the decimal expansion can be rounded up to 2 to 3 decimal places, which gives the approximate value of fraction.

Step:2 To Similarly, to convert a decimal into fraction, following procedure is used.

1. Observe, after how many places from the right a decimal is placed.

2. Divide the number after removing the decimal from it by a number as etc number of zeros after 1 depends upon the place from the right a decimal is placed.

3. Convert the fraction obtained in step 2 in simplest form.. If the denominator is greater than the numerator then the fraction is proper and if the numerator is greater than denominator then the fraction is improper.

Conversion of  to a decimal:

1.In the fraction , the denominator 16 can be written as .

Therefore, the decimal expansion of above fraction is a terminating decimal.

2. Divide the numerator 5 by 16.

3. The exact decimal expansion of is .

Similar Problems:

Problem 1: Convert  as a decimal.

Solution:

Step:1 In the fraction , the denominator 4 can be written as .

Step:2 Therefore, the decimal expansion of above fraction is a terminating decimal.

Divide the numerator 1 by 4.

Problem 2: Convert  as a fraction.

Solution:

Step:1 In the fraction , the denominator 4 can be written as .

Step:2 Therefore, the decimal expansion of above fraction is a terminating decimal.

2. Divide the numerator 1 by 8.

### Need homework help now?

tutors online

Related Questions
##### (t) in °C of the pot of soup at time t (in The initial temperature of a pot of soup is 80°C. The temperature minutes) satisfies the differential equation dT di T-20 10 (a) Solve the differential equation, and find an explicit expression for the function (). By separating variables, integrating and manipulating arbitrary constants, . We are also told that so that and so . ...
Notes
Me

OR

Don't have an account?

Join OneClass

Access over 10 million pages of study
documents for 1.3 million courses.

Join to view

OR

By registering, I agree to the Terms and Privacy Policies
Just a few more details

So we can recommend you notes for your school.