Basic Math Examples

$\frac{35}{16} = \frac{c - 8}{2}$

Step 1

Rewrite the equation as $\frac{c - 8}{2} = \frac{35}{16}$ .

$\frac{c - 8}{2} = \frac{35}{16}$

Step 2

Multiply both sides of the equation by $2$ .

$2 \frac{c - 8}{2} = 2 (\frac{35}{16})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $2$ .

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Step 3.1.1.1

Cancel the common factor.

$2 \frac{c - 8}{2} = 2 (\frac{35}{16})$

Step 3.1.1.2

Rewrite the expression.

$c - 8 = 2 (\frac{35}{16})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Cancel the common factor of $2$ .

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Step 3.2.1.1

Factor $2$ out of $16$ .

$c - 8 = 2 \frac{35}{2 (8)}$

Step 3.2.1.2

Cancel the common factor.

$c - 8 = 2 \frac{35}{2 \cdot 8}$

Step 3.2.1.3

Rewrite the expression.

$c - 8 = \frac{35}{8}$

Step 4

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

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Step 4.1

Add $8$ to both sides of the equation.

$c = \frac{35}{8} + 8$

Step 4.2

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

$c = \frac{35}{8} + 8 \cdot \frac{8}{8}$

Step 4.3

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

$c = \frac{35}{8} + \frac{8 \cdot 8}{8}$

Step 4.4

Combine the numerators over the common denominator.

$c = \frac{35 + 8 \cdot 8}{8}$

Step 4.5

Simplify the numerator.

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Step 4.5.1

Multiply $8$ by $8$ .

$c = \frac{35 + 64}{8}$

Step 4.5.2

Add $35$ and $64$ .

$c = \frac{99}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$c = \frac{99}{8}$

Decimal Form:

$c = 12.375$

Mixed Number Form:

$c = 12 \frac{3}{8}$