Basic Math Examples

$6 = z + \frac{23}{8}$

Step 1

Rewrite the equation as $z + \frac{23}{8} = 6$ .

$z + \frac{23}{8} = 6$

Step 2

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

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Step 2.1

Subtract $\frac{23}{8}$ from both sides of the equation.

$z = 6 - \frac{23}{8}$

Step 2.2

To write $6$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$z = 6 \cdot \frac{8}{8} - \frac{23}{8}$

Step 2.3

Combine $6$ and $\frac{8}{8}$ .

$z = \frac{6 \cdot 8}{8} - \frac{23}{8}$

Step 2.4

Combine the numerators over the common denominator.

$z = \frac{6 \cdot 8 - 23}{8}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $6$ by $8$ .

$z = \frac{48 - 23}{8}$

Step 2.5.2

Subtract $23$ from $48$ .

$z = \frac{25}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$z = \frac{25}{8}$

Decimal Form:

$z = 3.125$

Mixed Number Form:

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