Number and Quantity

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Praxis Math › Number and Quantity

Questions 1 - 10
1

Solve:

Explanation

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Cross out like terms.

Solve.

2

Solve:

Explanation

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Cross out like terms.

Solve.

3

Solve:

Explanation

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Cross out like terms.

Solve.

4

is of which of the following numbers?

Explanation

In order to solve this problem, we need to understand the relationship between percentages and ratios. Percents can be written as a value over a whole. In this case , our whole is one-hundred percent; therefore, we can write the following:

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that is of another number we will name, . Using this information we need to construct a proportion. We can write the following proportion:

We can cross multiply and solve for the unknown variable.

Rewrite.

Simplify.

Divide both sides of the equation by .

Solve.

5

is of which of the following numbers?

Explanation

In order to solve this problem, we need to understand the relationship between percentages and ratios. Percents can be written as a value over a whole. In this case , our whole is one-hundred percent; therefore, we can write the following:

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that is of another number we will name, . Using this information we need to construct a proportion. We can write the following proportion:

We can cross multiply and solve for the unknown variable.

Rewrite.

Simplify.

Divide both sides of the equation by .

Solve.

6

Solve:

Cannot be determined

Explanation

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Solve.

Convert to a mixed number.

7

Solve:

Cannot be determined

Explanation

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Solve.

Convert to a mixed number.

8

Solve:

Cannot be determined

Explanation

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Solve.

Convert to a mixed number.

9

is of which of the following numbers?

Explanation

In order to solve this problem, we need to understand the relationship between percentages and ratios. Percents can be written as a value over a whole. In this case , our whole is one-hundred percent; therefore, we can write the following:

Now, we need to create a relationship between our known value and the number we need to calculate. In the problem, we know that is of another number we will name, . Using this information we need to construct a proportion. We can write the following proportion:

We can cross multiply and solve for the unknown variable.

Rewrite.

Simplify.

Divide both sides of the equation by .

Solve.

10

Solve:

Explanation

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Cross out like terms.

Solve.

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