Basic Math Examples

$6 = \frac{4}{7} c$

Step 1

Rewrite the equation as $\frac{4}{7} c = 6$ .

$\frac{4}{7} c = 6$

Step 2

Multiply both sides of the equation by $\frac{7}{4}$ .

$\frac{7}{4} (\frac{4}{7} c) = \frac{7}{4} \cdot 6$

Step 3

Simplify both sides of the equation.

Tap for more steps...

Step 3.1

Simplify the left side.

Tap for more steps...

Step 3.1.1

Simplify $\frac{7}{4} (\frac{4}{7} c)$ .

Tap for more steps...

Step 3.1.1.1

Combine $\frac{4}{7}$ and $c$ .

$\frac{7}{4} \cdot \frac{4 c}{7} = \frac{7}{4} \cdot 6$

Step 3.1.1.2

Cancel the common factor of $7$ .

Tap for more steps...

Step 3.1.1.2.1

Cancel the common factor.

$\frac{7}{4} \cdot \frac{4 c}{7} = \frac{7}{4} \cdot 6$

Step 3.1.1.2.2

Rewrite the expression.

$\frac{1}{4} (4 c) = \frac{7}{4} \cdot 6$

Step 3.1.1.3

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1.1.3.1

Factor $4$ out of $4 c$ .

$\frac{1}{4} (4 (c)) = \frac{7}{4} \cdot 6$

Step 3.1.1.3.2

Cancel the common factor.

$\frac{1}{4} (4 c) = \frac{7}{4} \cdot 6$

Step 3.1.1.3.3

Rewrite the expression.

$c = \frac{7}{4} \cdot 6$

Step 3.2

Simplify the right side.

Tap for more steps...

Step 3.2.1

Simplify $\frac{7}{4} \cdot 6$ .

Tap for more steps...

Step 3.2.1.1

Cancel the common factor of $2$ .

Tap for more steps...

Step 3.2.1.1.1

Factor $2$ out of $4$ .

$c = \frac{7}{2 (2)} \cdot 6$

Step 3.2.1.1.2

Factor $2$ out of $6$ .

$c = \frac{7}{2 \cdot 2} \cdot (2 \cdot 3)$

Step 3.2.1.1.3

Cancel the common factor.

$c = \frac{7}{2 \cdot 2} \cdot (2 \cdot 3)$

Step 3.2.1.1.4

Rewrite the expression.

$c = \frac{7}{2} \cdot 3$

Step 3.2.1.2

Combine $\frac{7}{2}$ and $3$ .

$c = \frac{7 \cdot 3}{2}$

Step 3.2.1.3

Multiply $7$ by $3$ .

$c = \frac{21}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$c = \frac{21}{2}$

Decimal Form:

$c = 10.5$

Mixed Number Form:

$c = 10 \frac{1}{2}$