# GED Math : Decimal and Fraction Conversions

## Example Questions

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### Example Question #121 : Complex Operations

Express as a fraction:

Explanation:

Let

Then

Subtract:

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

Express as a decimal:

Explanation:

Divide 15 by 16:

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

Express as a fraction:

Explanation:

Let

Then

and

We can subtract:

### Example Question #1 : 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 #1 : 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 #3 : Decimal And Fraction Conversions

Express as a decimal:

Explanation:

Divide 11 by 12:

The "6" repeats forever,  so

.

### Example Question #4 : Decimal And Fraction Conversions

Express as a decimal:

Explanation:

Divide 16 by 15:

The "6" repeats forever, so

.

### Example Question #5 : 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.

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

Rewrite 0.24 as a fraction in simplest form.