Fractions

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SSAT Middle Level Quantitative › Fractions

Questions 1 - 10
1

Explanation

means the same thing as adding fourteen times.

On our number line, we can make jumps of

14 7 number line

2

Explanation

means the same thing as adding eight times.

On our number line, we can make jumps of

8 7 number line

3

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.

1 14

4

Add:

Explanation

Add the numerators and leave the denominators the same:

Answer:

5

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

6

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.

7

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

8

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.

1 6

9

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

10

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.

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