SSAT Middle Level Math : How to find the decimal equivalent of a fraction

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

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Example Questions

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

Write the decimal equivalent of .

Possible Answers:

Correct answer:

Explanation:

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

Express 0.014 as a fraction in lowest terms.

Possible Answers:

Correct answer:

Explanation:

The fraction has its last nonzero digit in the thousandths place, so write the number, without the decimal point, over 1,000. Then reduce.

Example Question #3 : How To Find The Decimal Equivalent Of A Fraction

Express  as a decimal.

Possible Answers:

Correct answer:

Explanation:

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

Which of the following is NOT equal to ?

Possible Answers:

 

Correct answer:

Explanation:

All of the answer choices multiply to give you 10 except

  

so that is the correct answer.

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

What fractions equals ?

Possible Answers:

Correct answer:

Explanation:

 is equal to .  

Thus we are looking for a fraction that reduces to .

 reduces to  (divide numerator and denominator by 4).

 reduces to 2 (divide numerator and denominator by 4).  

reduces to 4 (divide numerator and denominator by 2).

 reduces  (divide numerator and denominator by 4).

 is the only one that reduces to  (divide numerator and denominator by 8).

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

Write as a decimal: 

Possible Answers:

Correct answer:

Explanation:

That is, the digit 5 will repeat infinitely. This can be written as .

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

Write as a decimal:

Possible Answers:

Correct answer:

Explanation:

That is, the group "81" will repeat infinitely. This quotient can be written as .

Example Question #8 : How To Find The Decimal Equivalent Of A Fraction

Rewrite as a decimal: 

Possible Answers:

Correct answer:

Explanation:

That is, after 5 and 8, the digit 3 will repeat infinitely. This can be rewritten as .

Example Question #9 : How To Find The Decimal Equivalent Of A Fraction

Write as a decimal:

Possible Answers:

Correct answer:

Explanation:

That is, after the 2, the digit 7 repeats infinitely. This can be rewritten as .

Example Question #10 : How To Find The Decimal Equivalent Of A Fraction

Express  as a decimal.

Possible Answers:

Correct answer:

Explanation:

Divide the numerator by the denominator:

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