Fractions
Help Questions
SSAT Middle Level Quantitative › Fractions
Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is in length and occupies an area of
. How wide is this particular site?
Explanation
In order to solve this question, we need to first recall how to find the area of a rectangle.
Substitute in the given values in the equation and solve for .
Divide both sides by
Dividing by a fraction is the same as multiplying by its inverse or reciprocal.
Find the reciprocal of
Simplify and rewrite.
Multiply and solve.
Reduce.
The width of the fracking site is
Christine has of gummy candies that she wants to divide evenly into
bags. How much will each bag of gummy candies weigh?
Explanation
We are splitting into
equal groups, so we are dividing
by
.
To solve we multiply by the reciprocal.

Explanation
means the same thing as adding
two times.
On our number line, we can make jumps of

Which of the following statements demonstrates the associative property of addition?
None of the examples in the other responses demonstrates the associative property of addition.
Explanation
The associative property of addition states that to add three numbers, any two can be added first, followed by adding the sum to the third. Of the statements given, only
demonstrates this property, so it is the correct choice.
Explanation
means the same thing as adding
nine times.
On our number line, we can make jumps of

Melissa has of gummy candies that she wants to divide evenly into
bags. How much will each bag of gummy candies weigh?
Explanation
We are splitting into
equal groups, so we are dividing
by
.
To solve we multiply by the reciprocal.

Melissa has of gummy candies that she wants to divide evenly into
bags. How much will each bag of gummy candies weigh?
Explanation
We are splitting into
equal groups, so we are dividing
by
.
To solve we multiply by the reciprocal.

Multiply:
Explanation
First, multiply the numbers, ignoring the decimal points:
Since the two factors in the original product have three digits to the right of the decimal points between them, position the decimal point in the product such that three digits are at its right. The result, therefore, is
Explanation
When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over .
How many of the following four numbers are elements of the set ?
(A)
(B)
(C)
(D)
Two
Three
Four
None
One
Explanation
and
, so we are looking for numbers that fall between 0.4 and 0.6 exclusive. Of the four choices, 0.44 and 0.55 fall between these numbers. The correct response is two.