Basic Math Examples

$\frac{9}{8} = k + \frac{6}{6}$

Step 1

Rewrite the equation as $k + \frac{6}{6} = \frac{9}{8}$ .

$k + \frac{6}{6} = \frac{9}{8}$

Step 2

Divide $6$ by $6$ .

$k + 1 = \frac{9}{8}$

Step 3

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

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Step 3.1

Subtract $1$ from both sides of the equation.

$k = \frac{9}{8} - 1$

Step 3.2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$k = \frac{9}{8} - 1 \cdot \frac{8}{8}$

Step 3.3

Combine $- 1$ and $\frac{8}{8}$ .

$k = \frac{9}{8} + \frac{- 1 \cdot 8}{8}$

Step 3.4

Combine the numerators over the common denominator.

$k = \frac{9 - 1 \cdot 8}{8}$

Step 3.5

Simplify the numerator.

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Step 3.5.1

Multiply $- 1$ by $8$ .

$k = \frac{9 - 8}{8}$

Step 3.5.2

Subtract $8$ from $9$ .

$k = \frac{1}{8}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$k = \frac{1}{8}$

Decimal Form:

$k = 0.125$