# SSAT Upper Level Math : How to find the reciprocal of a fraction

## Example Questions

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

Give the reciprocal of 0.8.      Explanation:

The reciprocal of a number is the quotient of 1 and that number. Divide 1 by 0.8 by moving the decimal point to the right in each number one place: ### Example Question #1 : How To Find The Reciprocal Of A Fraction

Give the reciprocal of 0.75.      Explanation:

The reciprocal of a number is the quotient of 1 and the number.

Divide 1 by 0.75 by moving the decimal point to the right in each number two places: ### Example Question #1 : How To Find The Reciprocal Of A Fraction

Add the reciprocals of 0.3 and 0.7. What is their sum?  The correct answer is not among the other responses.   Explanation: , so its reciprocal is . , so its reciprocal is .  , so ### Example Question #1 : How To Find The Reciprocal Of A Fraction

Subtract the reciprocal of 1.5 from the reciprocal of 0.125. What is the result? The correct answer is not among the other responses.    Explanation: , so its reciprocal is . , so its reciprocal is 8.

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

Let be the reciprocal of 0.22. Which of the following is true of ?      Explanation: , so its reciprocal is .

Since , Therefore, .

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

Let be the reciprocal of 1.77. Which of the following is true of ?      Explanation: , so its reciprocal is .

If 100 is divided by 177, the decimal equivalent is seen to be so .

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

Subtract the reciprocal of 11 from the reciprocal of 13. What is the result?      Explanation:

The reciprocals of 11 and 13 are, respectively, and . The requested difference is This answer is not among the given choices.

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

Add the reciprocals of , , and . What is the sum?      Explanation:

The reciprocals of 4, 6, and 8 are, respectively, . Their sum is First we find the least common denominator between all three fractions.  ### All SSAT Upper Level Math Resources 