Basic Math Examples

$- \frac{5 c - 2 d}{6 c} + \frac{10 c - 8 d}{6 c}$

Step 1

Combine the numerators over the common denominator.

$\frac{- (5 c - 2 d) + 10 c - 8 d}{6 c}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{- (5 c) - (- 2 d) + 10 c - 8 d}{6 c}$

Step 2.2

Multiply $5$ by $- 1$ .

$\frac{- 5 c - (- 2 d) + 10 c - 8 d}{6 c}$

Step 2.3

Multiply $- 2$ by $- 1$ .

$\frac{- 5 c + 2 d + 10 c - 8 d}{6 c}$

Step 3

Simplify by adding terms.

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Step 3.1

Add $- 5 c$ and $10 c$ .

$\frac{5 c + 2 d - 8 d}{6 c}$

Step 3.2

Subtract $8 d$ from $2 d$ .

$\frac{5 c - 6 d}{6 c}$