# GED Math : Decimal and Fraction Conversions

## Example Questions

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### Example Question #1 : Decimal And Fraction Conversions

Express as a fraction:      Explanation:

Let Then Subtract:    ### Example Question #2 : Decimal And Fraction Conversions

Express as a decimal:      Explanation:

Divide 15 by 16:  ### Example Question #3 : Decimal And Fraction Conversions

Express as a fraction:      Explanation:

Let Then and We can subtract:    ### Example Question #4 : Decimal And Fraction Conversions

Which number has 5.25 as its reciprocal?

Do not use a calculator.     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 #5 : Decimal And Fraction Conversions

Which of the following numbers has as its reciprocal?

Do not use a calculator.     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:  , the correct choice.

### Example Question #6 : Decimal And Fraction Conversions

Express as a decimal:      Explanation:

Divide 11 by 12: The "6" repeats forever,  so .

### Example Question #7 : Decimal And Fraction Conversions

Express as a decimal:      Explanation:

Divide 16 by 15: The "6" repeats forever, so .

### Example Question #8 : Decimal And Fraction Conversions

Express as a decimal:      Explanation:

Divide 12 by 11: The "09" repeasts forever, so .

### Example Question #9 : Decimal And Fraction Conversions

What is the decimal represented by the fraction ?      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 #10 : Decimal And Fraction Conversions

Rewrite 0.24 as a fraction in simplest form.     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: ← Previous 1 