### All ISEE Middle Level Quantitative Resources

## Example Questions

### Example Question #1 : How To Multiply Fractions

**Possible Answers:**

**Correct answer:**

When multiplying fractions you simply multiply the numerators to find the numerator of the product, and multiply the denominators to find the denominator of the product.

So, our product is .

Since both of these numbers are divisible by three, we simplify.

Our final answer is .

### Example Question #2 : How To Multiply Fractions

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(b) is greater

(a) and (b) are equal

It is impossible to tell from the information given

(a) is greater

**Correct answer:**

(a) is greater

Rewrite the mixed numbers as improper fractions, then multiply across:

### Example Question #3 : How To Multiply Fractions

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(b) is greater

(a) is greater

It is impossible to tell from the information given

(a) and (b) are equal

**Correct answer:**

(a) and (b) are equal

Rewrite the factors as improper fractions, then multiply across:

### Example Question #4 : How To Multiply Fractions

Which is the greater quantity?

(a)

(b)

**Possible Answers:**

(a) and (b) are equal

(b) is greater

(a) is greater

It is impossible to tell from the information given

**Correct answer:**

(a) and (b) are equal

(a)

Divide by moving the decimal point right two places in both numbers:

(b)

Cross-cancel:

, so

### Example Question #5 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

**Possible Answers:**

(A) and (B) are equal

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

(A) is greater

(B) is greater

**Correct answer:**

(B) is greater

, so

, so , making (B) greater.

### Example Question #6 : How To Multiply Fractions

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

(B) is greater

(A) is greater

**Correct answer:**

(B) is greater

Since , , so (B) is greater.

### Example Question #7 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

**Possible Answers:**

(B) is greater

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

(A) and (B) are equal

(A) is greater

**Correct answer:**

(B) is greater

, so (B) is greater

### Example Question #8 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

**Possible Answers:**

(A) is greater

(A) and (B) are equal

(B) is greater

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

**Correct answer:**

(A) and (B) are equal

The expressions are equal.

### Example Question #9 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

**Possible Answers:**

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

(B) is greater

(A) and (B) are equal

(A) is greater

**Correct answer:**

(A) is greater

Solve for (A):

Solve for (B):

Since , and (A) is greater.

### Example Question #10 : How To Multiply Fractions

**Possible Answers:**

**Correct answer:**

When dealing with problems that involve fractions and whole numbers, first convert your whole number into a fraction. You can easily do this by putting the whole number over 1.

When multiplying, multiply the numerators by each other and the denominators by each other.

Always reduce a fraction when possible. In this case, the numerator and denominator of are both divisible by 4. So, it reduces to 9.