Basic Math Examples

$\frac{5 c - 3 d}{3 c} - \frac{2 c - 10 d}{3 c}$

Step 1

Combine the numerators over the common denominator.

$\frac{5 c - 3 d - (2 c - 10 d)}{3 c}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{5 c - 3 d - (2 c) - (- 10 d)}{3 c}$

Step 2.2

Multiply $2$ by $- 1$ .

$\frac{5 c - 3 d - 2 c - (- 10 d)}{3 c}$

Step 2.3

Multiply $- 10$ by $- 1$ .

$\frac{5 c - 3 d - 2 c + 10 d}{3 c}$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $2 c$ from $5 c$ .

$\frac{3 c - 3 d + 10 d}{3 c}$

Step 3.2

Add $- 3 d$ and $10 d$ .

$\frac{3 c + 7 d}{3 c}$