Basic Math Examples

$\frac{7 a - 9 y}{5 a} - \frac{3 a - 4 y}{5 a}$

Step 1

Combine the numerators over the common denominator.

$\frac{7 a - 9 y - (3 a - 4 y)}{5 a}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{7 a - 9 y - (3 a) - (- 4 y)}{5 a}$

Step 2.2

Multiply $3$ by $- 1$ .

$\frac{7 a - 9 y - 3 a - (- 4 y)}{5 a}$

Step 2.3

Multiply $- 4$ by $- 1$ .

$\frac{7 a - 9 y - 3 a + 4 y}{5 a}$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $3 a$ from $7 a$ .

$\frac{4 a - 9 y + 4 y}{5 a}$

Step 3.2

Add $- 9 y$ and $4 y$ .

$\frac{4 a - 5 y}{5 a}$