ISEE Middle Level Quantitative : How to multiply fractions

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

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Example Questions

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Example Question #1 : How To Multiply Fractions

Possible Answers:

Correct answer:

Explanation:

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:

It is impossible to tell from the information given

(a) and (b) are equal

(a) is greater

(b) is greater

Correct answer:

(a) is greater

Explanation:

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:

It is impossible to tell from the information given

(a) and (b) are equal

(b) is greater

(a) is greater

Correct answer:

(a) and (b) are equal

Explanation:

Rewrite the factors as improper fractions, then multiply across:

Example Question #2 : How To Multiply Fractions

Which is the greater quantity?

(a) 

(b) 

 

Possible Answers:

(a) and (b) are equal

(a) is greater

(b) is greater

It is impossible to tell from the information given

Correct answer:

(a) and (b) are equal

Explanation:

(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:

(B) is greater

(A) is greater

(A) and (B) are equal

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

Correct answer:

(B) is greater

Explanation:

, so 

 

, so  , making (B) greater.

Example Question #3 : How To Multiply Fractions

Which is the greater quantity?

(A) 

(B) 

Possible Answers:

(A) and (B) are equal

(A) is greater

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

(B) is greater

Correct answer:

(B) is greater

Explanation:

Since , so (B) is greater.

Example Question #7 : 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:

(B) is greater

Explanation:

 

, so (B) is greater

 

Example Question #4 : 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

(A) is greater

(B) is greater

Correct answer:

(A) and (B) are equal

Explanation:

 

 

The expressions are equal.

Example Question #9 : 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) is greater

(A) and (B) are equal

Correct answer:

(A) is greater

Explanation:

Solve for (A):

 

Solve for (B):

 

Since  and (A) is greater.

Example Question #10 : How To Multiply Fractions

Possible Answers:

Correct answer:

Explanation:

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.

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