Basic Math Examples

$\frac{c}{d} + 2 = \frac{f}{g}$

Step 1

Subtract $\frac{f}{g}$ from both sides of the equation.

$\frac{c}{d} + 2 - \frac{f}{g} = 0$

Step 2

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

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Step 2.1

Subtract $2$ from both sides of the equation.

$\frac{c}{d} - \frac{f}{g} = - 2$

Step 2.2

Add $\frac{f}{g}$ to both sides of the equation.

$\frac{c}{d} = - 2 + \frac{f}{g}$

Step 3

Multiply both sides by $d$ .

$\frac{c}{d} d = (- 2 + \frac{f}{g}) d$

Step 4

Simplify.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Cancel the common factor of $d$ .

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Step 4.1.1.1

Cancel the common factor.

$\frac{c}{d} d = (- 2 + \frac{f}{g}) d$

Step 4.1.1.2

Rewrite the expression.

$c = (- 2 + \frac{f}{g}) d$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $(- 2 + \frac{f}{g}) d$ .

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Step 4.2.1.1

Apply the distributive property.

$c = - 2 d + \frac{f}{g} d$

Step 4.2.1.2

Combine $\frac{f}{g}$ and $d$ .

$c = - 2 d + \frac{f d}{g}$

Step 4.2.1.3

Simplify with commuting.

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Step 4.2.1.3.1

Reorder $f$ and $d$ .

$c = - 2 d + \frac{d f}{g}$

Step 4.2.1.3.2

Reorder $- 2 d$ and $\frac{d f}{g}$ .

$c = \frac{d f}{g} - 2 d$