ISEE Middle Level Quantitative : How to multiply fractions

Example Questions

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Example Question #37 : Numbers And Operations

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.

Example Question #38 : Numbers And Operations

Which is the greater quantity?

(a)

(b)

(a) and (b) are equal

It is impossible to tell from the information given

(a) is greater

(b) is greater

(a) is greater

Explanation:

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

Example Question #39 : Numbers And Operations

Which is the greater quantity?

(a)

(b)

(a) and (b) are equal

It is impossible to tell from the information given

(b) is greater

(a) is greater

(a) and (b) are equal

Explanation:

Rewrite the factors as improper fractions, then multiply across:

Example Question #1 : How To Multiply Fractions

Which is the greater quantity?

(a)

(b)

(a) is greater

(b) is greater

It is impossible to tell from the information given

(a) and (b) are equal

(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 #2 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

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

(A) and (B) are equal

(B) is greater

(A) is greater

(B) is greater

Explanation:

, so

, so  , making (B) greater.

Example Question #3 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

(B) is greater

(A) and (B) are equal

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

(A) is greater

(B) is greater

Explanation:

Since , so (B) is greater.

Example Question #4 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

(A) and (B) are equal

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

(B) is greater

(A) is greater

(B) is greater

Explanation:

, so (B) is greater

Example Question #5 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

(A) is greater

(A) and (B) are equal

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

(B) is greater

(A) and (B) are equal

Explanation:

The expressions are equal.

Example Question #6 : How To Multiply Fractions

Which is the greater quantity?

(A)

(B)

(A) and (B) are equal

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

(B) is greater

(A) is greater

(A) is greater

Explanation:

Solve for (A):

Solve for (B):

Since  and (A) is greater.