All ISEE Middle Level Quantitative Resources
Example Questions
Example Question #1 : How To Multiply Fractions
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 #161 : 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) is greater
Rewrite the mixed numbers as improper fractions, then multiply across:
Example Question #162 : Fractions
Which is the greater quantity?
(a)
(b)
It is impossible to tell from the information given
(a) and (b) are equal
(b) is greater
(a) is greater
(a) and (b) are equal
Rewrite the factors as improper fractions, then multiply across:
Example Question #1 : How To Multiply Fractions
Which is the greater quantity?
(a)
(b)
(a) and (b) are equal
(a) is greater
(b) is greater
It is impossible to tell from the information given
(a) and (b) are equal
(a)
Divide by moving the decimal point right two places in both numbers:
(b)
Cross-cancel:
, so
Example Question #163 : 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
, so
, so
, making (B) greater.
Example Question #164 : Fractions
Which is the greater quantity?
(A)
(B)
(A) and (B) are equal
(A) is greater
It is impossible to determine which is greater from the information given
(B) is greater
(B) is greater
Since ,
, so (B) is greater.
Example Question #1 : 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
(A) is greater
(B) is greater
(B) is greater
, so (B) is greater
Example Question #1 : How To Multiply Fractions
Which is the greater quantity?
(A)
(B)
It is impossible to determine which is greater from the information given
(A) is greater
(A) and (B) are equal
(B) is greater
(A) and (B) are equal
The expressions are equal.
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
(B) is greater
(A) and (B) are equal
(A) is greater
(A) is greater
Solve for (A):
Solve for (B):
Since ,
and (A) is greater.
Example Question #1 : How To Multiply Fractions
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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All ISEE Middle Level Quantitative Resources
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