### All ISEE Middle Level Quantitative Resources

## Example Questions

### Example Question #184 : Fractions

Write the result as a decimal:

**Possible Answers:**

**Correct answer:**

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

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

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:**

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.