How do you convert to a decimal?

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Answer


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 .

 

Answer:  is  as a decimal.

 

 

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.

Answer: is  as a decimal.

 

 

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.

 

Answer: is  as a decimal.

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