ISEE Middle Level Quantitative : How to find the decimal equivalent of a fraction

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

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Example Question #184 : Fractions

Write the result as a decimal:

Possible Answers:

Correct answer:

Explanation:

First, evaluate the term in parenthesis:

Apply the exponent by sparing the numerator and the denominator.

To subtract, convert the terms to a common denominator.

Divide to convert the fraction to a decimal.

Example Question #11 : How To Find The Decimal Equivalent Of A Fraction

 and  are positive.

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

It is impossible to determine which is greater from the information given

(a) and (b) are equal

(a) is the greater quantity

(b) is the greater quantity

Correct answer:

(a) and (b) are equal

Explanation:

Multiply both sides by 8, and the following is revealed:

On the left side, the division is cancelled by the multiplication. On the right, , so

Example Question #12 : How To Find The Decimal Equivalent Of A Fraction

 and  are positive.

Which is the greater quantity?

(a) 

(b) 

Possible Answers:

(a) and (b) are equal

(a) is the greater quantity

(b) is the greater quantity

It is impossible to determine which is greater from the information given

Correct answer:

(a) is the greater quantity

Explanation:

This can be solved by noting that, converting the decimal to a fraction, .

The equation can be rewritten as

Multiply both sides by  :

, so

, and

.

Example Question #193 : Fractions

Express  as a fraction.

Possible Answers:

Correct answer:

Explanation:

The last nonzero digit is in the ten-thousandths place, so write the number, without decimal point or leading zeroes, over 10,000. Then reduce.

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