The Real Number System - Praxis Math

Card 1 of 12

Didn't Know

Knew It

1 of 1211 left

Question

Solve:

$$\frac{\frac{1}{3}$}{$\frac{1}{8}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{1}{3}$}{$\frac{1}{8}$}$

Rewrite.

$\frac{\frac{1}{3}$}{$\frac{1}{8}$}=\frac{1}{3}$\times$\frac{8}{1}$

Solve.

$\frac{1}{3}$\times$\frac{8}{1}$=\frac{8}{3}$

Convert to a mixed number.

$\frac{8}{3}$=2\t$\frac{2}{3}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{2}{21}$}{$\frac{5}{7}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{2}{21}$}{$\frac{5}{7}$}$

Rewrite.

$\frac{\frac{2}{21}$}{$\frac{5}{7}$}=\frac{2}{21}$\times$\frac{7}{5}$

Cross out like terms.

$\frac{2}{21}$\times$\frac{7}{5}$=\frac{2}{3}$\times$\frac{1}{5}$

Solve.

$\frac{2}{3}$\times$\frac{1}{5}$=\frac{2}{15}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{5}{16}$}{$\frac{3}{4}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{5}{16}$}{$\frac{3}{4}$}$

Rewrite.

$\frac{\frac{5}{16}$}{$\frac{3}{4}$}=\frac{5}{16}$\times$\frac{4}{3}$

Cross out like terms.

$\frac{5}{16}$\times$\frac{4}{3}$=\frac{5}{4}$\times$\frac{1}{3}$

Solve.

$\frac{5}{4}$\times$\frac{1}{3}$=\frac{5}{12}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{1}{3}$}{$\frac{1}{8}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{1}{3}$}{$\frac{1}{8}$}$

Rewrite.

$\frac{\frac{1}{3}$}{$\frac{1}{8}$}=\frac{1}{3}$\times$\frac{8}{1}$

Solve.

$\frac{1}{3}$\times$\frac{8}{1}$=\frac{8}{3}$

Convert to a mixed number.

$\frac{8}{3}$=2\t$\frac{2}{3}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{2}{21}$}{$\frac{5}{7}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{2}{21}$}{$\frac{5}{7}$}$

Rewrite.

$\frac{\frac{2}{21}$}{$\frac{5}{7}$}=\frac{2}{21}$\times$\frac{7}{5}$

Cross out like terms.

$\frac{2}{21}$\times$\frac{7}{5}$=\frac{2}{3}$\times$\frac{1}{5}$

Solve.

$\frac{2}{3}$\times$\frac{1}{5}$=\frac{2}{15}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{5}{16}$}{$\frac{3}{4}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{5}{16}$}{$\frac{3}{4}$}$

Rewrite.

$\frac{\frac{5}{16}$}{$\frac{3}{4}$}=\frac{5}{16}$\times$\frac{4}{3}$

Cross out like terms.

$\frac{5}{16}$\times$\frac{4}{3}$=\frac{5}{4}$\times$\frac{1}{3}$

Solve.

$\frac{5}{4}$\times$\frac{1}{3}$=\frac{5}{12}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{1}{3}$}{$\frac{1}{8}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{1}{3}$}{$\frac{1}{8}$}$

Rewrite.

$\frac{\frac{1}{3}$}{$\frac{1}{8}$}=\frac{1}{3}$\times$\frac{8}{1}$

Solve.

$\frac{1}{3}$\times$\frac{8}{1}$=\frac{8}{3}$

Convert to a mixed number.

$\frac{8}{3}$=2\t$\frac{2}{3}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{2}{21}$}{$\frac{5}{7}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{2}{21}$}{$\frac{5}{7}$}$

Rewrite.

$\frac{\frac{2}{21}$}{$\frac{5}{7}$}=\frac{2}{21}$\times$\frac{7}{5}$

Cross out like terms.

$\frac{2}{21}$\times$\frac{7}{5}$=\frac{2}{3}$\times$\frac{1}{5}$

Solve.

$\frac{2}{3}$\times$\frac{1}{5}$=\frac{2}{15}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{5}{16}$}{$\frac{3}{4}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{5}{16}$}{$\frac{3}{4}$}$

Rewrite.

$\frac{\frac{5}{16}$}{$\frac{3}{4}$}=\frac{5}{16}$\times$\frac{4}{3}$

Cross out like terms.

$\frac{5}{16}$\times$\frac{4}{3}$=\frac{5}{4}$\times$\frac{1}{3}$

Solve.

$\frac{5}{4}$\times$\frac{1}{3}$=\frac{5}{12}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{1}{3}$}{$\frac{1}{8}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{1}{3}$}{$\frac{1}{8}$}$

Rewrite.

$\frac{\frac{1}{3}$}{$\frac{1}{8}$}=\frac{1}{3}$\times$\frac{8}{1}$

Solve.

$\frac{1}{3}$\times$\frac{8}{1}$=\frac{8}{3}$

Convert to a mixed number.

$\frac{8}{3}$=2\t$\frac{2}{3}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{2}{21}$}{$\frac{5}{7}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{2}{21}$}{$\frac{5}{7}$}$

Rewrite.

$\frac{\frac{2}{21}$}{$\frac{5}{7}$}=\frac{2}{21}$\times$\frac{7}{5}$

Cross out like terms.

$\frac{2}{21}$\times$\frac{7}{5}$=\frac{2}{3}$\times$\frac{1}{5}$

Solve.

$\frac{2}{3}$\times$\frac{1}{5}$=\frac{2}{15}$

← Didn't Know|Knew It →

Question

Solve:

$$\frac{\frac{5}{16}$}{$\frac{3}{4}$}$

Tap to reveal answer

Answer

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:

$\frac{\frac{a}{b}$}{$\frac{c}{d}$}=\frac{a}{b}$\times$\frac{d}{c}$

Let's use this rule to solve our problem.

$$\frac{\frac{5}{16}$}{$\frac{3}{4}$}$

Rewrite.

$\frac{\frac{5}{16}$}{$\frac{3}{4}$}=\frac{5}{16}$\times$\frac{4}{3}$

Cross out like terms.

$\frac{5}{16}$\times$\frac{4}{3}$=\frac{5}{4}$\times$\frac{1}{3}$

Solve.

$\frac{5}{4}$\times$\frac{1}{3}$=\frac{5}{12}$

← Didn't Know|Knew It →

Knew It