Basic Math Examples

$\frac{c}{9} + \frac{d}{7} = 5$

Step 1

Subtract $\frac{c}{9}$ from both sides of the equation.

$\frac{d}{7} = 5 - \frac{c}{9}$

Step 2

Multiply both sides of the equation by $7$ .

$7 \frac{d}{7} = 7 (5 - \frac{c}{9})$

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 $7$ .

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Step 3.1.1.1

Cancel the common factor.

$7 \frac{d}{7} = 7 (5 - \frac{c}{9})$

Step 3.1.1.2

Rewrite the expression.

$d = 7 (5 - \frac{c}{9})$

$d = 7 (5 - \frac{c}{9})$

$d = 7 (5 - \frac{c}{9})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $7 (5 - \frac{c}{9})$ .

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Step 3.2.1.1

Apply the distributive property.

$d = 7 \cdot 5 + 7 (- \frac{c}{9})$

Step 3.2.1.2

Multiply $7$ by $5$ .

$d = 35 + 7 (- \frac{c}{9})$

Step 3.2.1.3

Multiply $7 (- \frac{c}{9})$ .

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Step 3.2.1.3.1

Multiply $- 1$ by $7$ .

$d = 35 - 7 \frac{c}{9}$

Step 3.2.1.3.2

Combine $- 7$ and $\frac{c}{9}$ .

$d = 35 + \frac{- 7 c}{9}$

$d = 35 + \frac{- 7 c}{9}$

Step 3.2.1.4

Move the negative in front of the fraction.

$d = 35 - \frac{7 c}{9}$

$d = 35 - \frac{7 c}{9}$

$d = 35 - \frac{7 c}{9}$

$d = 35 - \frac{7 c}{9}$

Step 4

Reorder $35$ and $- \frac{7 c}{9}$ .

$d = - \frac{7 c}{9} + 35$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$