GED Math : Decimal and Fraction Conversions

Study concepts, example questions & explanations for GED Math

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Example Questions

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Example Question #1 : Decimal And Fraction Conversions

Express as a fraction: 

Possible Answers:

Correct answer:

Explanation:

Let 

Then 

Subtract:

  

       

   

Example Question #452 : Numbers And Operations

Express as a decimal: 

Possible Answers:

Correct answer:

Explanation:

Divide 15 by 16:

Division

Example Question #2 : Decimal And Fraction Conversions

Express as a fraction:

Possible Answers:

Correct answer:

Explanation:

Let 

Then

and 

We can subtract:

  

 

Example Question #454 : Numbers And Operations

Which number has 5.25 as its reciprocal? 

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

The number that has 5.25 as its reciprocal is, in return, the reciprocal of 5.25.

Convert 5.25 to a fraction:

Switch the numerator and the denominator to obtain the reciprocal - this number is .

Example Question #3 : Decimal And Fraction Conversions

Which of the following numbers has  as its reciprocal?

Do not use a calculator.

Possible Answers:

Correct answer:

Explanation:

The number that has  as its reciprocal is, in return, the reciprocal of . This number is the result of switching the numerator and denominator - . Since we are looking for the decimal equivalent, we divide 29 by 8:

Division

, the correct choice.

Example Question #456 : Ged Math

Express as a decimal: 

Possible Answers:

Correct answer:

Explanation:

Divide 11 by 12:

Division

The "6" repeats forever,  so

.

Example Question #457 : Ged Math

Express as a decimal: 

Possible Answers:

Correct answer:

Explanation:

Divide 16 by 15:

Division

The "6" repeats forever, so 

.

Example Question #456 : Numbers And Operations

Express as a decimal: 

Possible Answers:

Correct answer:

Explanation:

Divide 12 by 11:

Division

The "09" repeasts forever, so

.

Example Question #4 : Decimal And Fraction Conversions

What is the decimal represented by the fraction ?

Possible Answers:

Correct answer:

Explanation:

Set up a proportion such that this fraction is some number over 100.

Cross multiply.

Divide by 50 on both sides.

The answer is:  

Example Question #458 : Numbers And Operations

Rewrite 0.24 as a fraction in simplest form.

Possible Answers:

Correct answer:

Explanation:

The last nonzero digit of 0.24 - namely, the "4" - is in the hundredths place, so the fractional representation is

Reduce this to simplest form by dividing both halves by their greatest common factor, which is 4:

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