Algebra Examples

$- \frac{1}{4} c + \frac{1}{7} = \frac{3}{7}$

Step 1

Combine $c$ and $\frac{1}{4}$ .

$- \frac{c}{4} + \frac{1}{7} = \frac{3}{7}$

Step 2

Move all terms not containing $c$ to the right side of the equation.

Tap for more steps...

Step 2.1

Subtract $\frac{1}{7}$ from both sides of the equation.

$- \frac{c}{4} = \frac{3}{7} - \frac{1}{7}$

Step 2.2

Combine the numerators over the common denominator.

$- \frac{c}{4} = \frac{3 - 1}{7}$

Step 2.3

Subtract $1$ from $3$ .

$- \frac{c}{4} = \frac{2}{7}$

Step 3

Multiply both sides of the equation by $- 4$ .

$- 4 (- \frac{c}{4}) = - 4 (\frac{2}{7})$

Step 4

Simplify both sides of the equation.

Tap for more steps...

Step 4.1

Simplify the left side.

Tap for more steps...

Step 4.1.1

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

Tap for more steps...

Step 4.1.1.1

Cancel the common factor of $4$ .

Tap for more steps...

Step 4.1.1.1.1

Move the leading negative in $- \frac{c}{4}$ into the numerator.

$- 4 \frac{- c}{4} = - 4 (\frac{2}{7})$

Step 4.1.1.1.2

Factor $4$ out of $- 4$ .

$4 (- 1) \frac{- c}{4} = - 4 (\frac{2}{7})$

Step 4.1.1.1.3

Cancel the common factor.

$4 \cdot - 1 \frac{- c}{4} = - 4 (\frac{2}{7})$

Step 4.1.1.1.4

Rewrite the expression.

$- - c = - 4 (\frac{2}{7})$

Step 4.1.1.2

Multiply.

Tap for more steps...

Step 4.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 c = - 4 (\frac{2}{7})$

Step 4.1.1.2.2

Multiply $c$ by $1$ .

$c = - 4 (\frac{2}{7})$

Step 4.2

Simplify the right side.

Tap for more steps...

Step 4.2.1

Simplify $- 4 (\frac{2}{7})$ .

Tap for more steps...

Step 4.2.1.1

Multiply $- 4 (\frac{2}{7})$ .

Tap for more steps...

Step 4.2.1.1.1

Combine $- 4$ and $\frac{2}{7}$ .

$c = \frac{- 4 \cdot 2}{7}$

Step 4.2.1.1.2

Multiply $- 4$ by $2$ .

$c = \frac{- 8}{7}$

Step 4.2.1.2

Move the negative in front of the fraction.

$c = - \frac{8}{7}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$c = - \frac{8}{7}$

Decimal Form:

$c = - 1.\overline{142857}$

Mixed Number Form:

$c = - 1 \frac{1}{7}$