Pre-Algebra Examples

$\frac{4}{7} \div \frac{6}{5} \cdot \frac{49}{55}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{4}{7} \cdot \frac{5}{6} \cdot \frac{49}{55}$

Step 2

Cancel the common factor of $2$ .

Tap for more steps...

Step 2.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{7} \cdot \frac{5}{6} \cdot \frac{49}{55}$

Step 2.2

Factor $2$ out of $6$ .

$\frac{2 \cdot 2}{7} \cdot \frac{5}{2 \cdot 3} \cdot \frac{49}{55}$

Step 2.3

Cancel the common factor.

$\frac{2 \cdot 2}{7} \cdot \frac{5}{2 \cdot 3} \cdot \frac{49}{55}$

Step 2.4

Rewrite the expression.

$\frac{2}{7} \cdot \frac{5}{3} \cdot \frac{49}{55}$

Step 3

Multiply $\frac{2}{7}$ by $\frac{5}{3}$ .

$\frac{2 \cdot 5}{7 \cdot 3} \cdot \frac{49}{55}$

Step 4

Multiply.

Tap for more steps...

Step 4.1

Multiply $2$ by $5$ .

$\frac{10}{7 \cdot 3} \cdot \frac{49}{55}$

Step 4.2

Multiply $7$ by $3$ .

$\frac{10}{21} \cdot \frac{49}{55}$

Step 5

Cancel the common factor of $5$ .

Tap for more steps...

Step 5.1

Factor $5$ out of $10$ .

$\frac{5 (2)}{21} \cdot \frac{49}{55}$

Step 5.2

Factor $5$ out of $55$ .

$\frac{5 \cdot 2}{21} \cdot \frac{49}{5 \cdot 11}$

Step 5.3

Cancel the common factor.

$\frac{5 \cdot 2}{21} \cdot \frac{49}{5 \cdot 11}$

Step 5.4

Rewrite the expression.

$\frac{2}{21} \cdot \frac{49}{11}$

Step 6

Cancel the common factor of $7$ .

Tap for more steps...

Step 6.1

Factor $7$ out of $21$ .

$\frac{2}{7 (3)} \cdot \frac{49}{11}$

Step 6.2

Factor $7$ out of $49$ .

$\frac{2}{7 \cdot 3} \cdot \frac{7 \cdot 7}{11}$

Step 6.3

Cancel the common factor.

$\frac{2}{7 \cdot 3} \cdot \frac{7 \cdot 7}{11}$

Step 6.4

Rewrite the expression.

$\frac{2}{3} \cdot \frac{7}{11}$

Step 7

Multiply $\frac{2}{3}$ by $\frac{7}{11}$ .

$\frac{2 \cdot 7}{3 \cdot 11}$

Step 8

Multiply.

Tap for more steps...

Step 8.1

Multiply $2$ by $7$ .

$\frac{14}{3 \cdot 11}$

Step 8.2

Multiply $3$ by $11$ .

$\frac{14}{33}$

Step 9

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{33}$

Decimal Form:

$0.\overline{42}$