# SAT Math : How to find the reciprocal of a fraction

## Example Questions

### Example Question #1 : How To Find The Reciprocal Of A Fraction

What is the reciprocal of the following fraction: 18/27

Possible Answers:

27/18

9

-18/27

9/27

Correct answer:

27/18

Explanation:

A fraction multiplied by its reciprocal will equal 1. To find the reciprocal of a fraction, switch the denominator and numerator. The reciprocal of 18/27 is 27/18.

### Example Question #1 : How To Find The Reciprocal Of A Fraction

What is the reciprocal of the fraction below?

Possible Answers:

Correct answer:

Explanation:

The reciprocal of a fraction can be obtained by switching the numerator and denominator.

The numerator in this case is  so that will become the denominator.

The denominator in this case is  so that will become the numerator.

Threfore the reciprocal of  is .

### Example Question #2 : How To Find The Reciprocal Of A Fraction

What is the reciprocal of ?

Possible Answers:

Correct answer:

Explanation:

The reciprocal can be determined by taking one dividing the entire quantity.

This is just flipping the numerator and the denominator.

The answer is .

### Example Question #1 : Reciprocals

What is the reciprocal of ?

Possible Answers:

Correct answer:

Explanation:

To find the reciprocal, take 1 and divide by the entire quantity of the fraction. The reciprocal is simply swapping the placement of the numerator and the denominator.

### Example Question #4 : How To Find The Reciprocal Of A Fraction

What is the negative reciprocal of ?

Possible Answers:

Correct answer:

Explanation:

The negative reciprocal of a number is to take negative one, and divide by the value.  Simply swap the numerator and denominator and add a negative sign.

Recall that dividing by a fraction is the same as multiplying by the reciprocal.

The correct answer is:

### Example Question #1 : How To Find The Reciprocal Of A Fraction

Find the reciprocal of the fraction:

Possible Answers:

Correct answer:

Explanation:

The reciprocal of a fraction is one over the quantity of the fraction.

Simply switch the terms of the numerator and denominator.

The answer is .

### Example Question #6 : How To Find The Reciprocal Of A Fraction

The reciprocal of  is equal to .

What is the reciprocal of ?

Possible Answers:

Correct answer:

Explanation:

The reciprocal of  is equal to , so  - which is the reciprocal of the reciprocal of  - is the reciprocal of , so  is the reciprocal of this, or .

Since

The reciprocal of  is .