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

Study concepts, example questions & explanations for SSAT Upper Level Math

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Example Questions

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

Give the reciprocal of 0.8.

Possible Answers:

Correct answer:

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 #2 : How To Find The Reciprocal Of A Fraction

Give the reciprocal of 0.75.

Possible Answers:

Correct answer:

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 #3 : How To Find The Reciprocal Of A Fraction

Add the reciprocals of 0.3 and 0.7. What is their sum?

Possible Answers:

The correct answer is not among the other responses.

Correct answer:

Explanation:

, so its reciprocal is .

, so its reciprocal is .

Add them:

, so

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

Subtract the reciprocal of 1.5 from the reciprocal of 0.125. What is the result?

Possible Answers:

The correct answer is not among the other responses.

Correct answer:

Explanation:

, so its reciprocal is .

, so its reciprocal is 8.

The requested difference is 

Example Question #5 : How To Find The Reciprocal Of A Fraction

Let  be the reciprocal of 0.22. Which of the following is true of ?

Possible Answers:

Correct answer:

Explanation:

, so its reciprocal is .

Since ,

Therefore, .

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

Let  be the reciprocal of 1.77. Which of the following is true of ?

Possible Answers:

Correct answer:

Explanation:

, so its reciprocal is .

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

.

Example Question #7 : How To Find The Reciprocal Of A Fraction

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

Possible Answers:

Correct answer:

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?

Possible Answers:

Correct answer:

Explanation:

The reciprocals of 4, 6, and 8 are, respectively, . Their sum is

First we find the least common denominator between all three fractions.

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