Basic Math Examples

$- \frac{5 a + 13 y}{7 a} - \frac{a - 6 y}{7 a}$

Step 1

Combine the numerators over the common denominator.

$\frac{- (5 a + 13 y) - (a - 6 y)}{7 a}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{- (5 a) - (13 y) - (a - 6 y)}{7 a}$

Step 2.2

Multiply $5$ by $- 1$ .

$\frac{- 5 a - (13 y) - (a - 6 y)}{7 a}$

Step 2.3

Multiply $13$ by $- 1$ .

$\frac{- 5 a - 13 y - (a - 6 y)}{7 a}$

Step 2.4

Apply the distributive property.

$\frac{- 5 a - 13 y - a - (- 6 y)}{7 a}$

Step 2.5

Multiply $- 6$ by $- 1$ .

$\frac{- 5 a - 13 y - a + 6 y}{7 a}$

$\frac{- 5 a - 13 y - a + 6 y}{7 a}$

Step 3

Simplify terms.

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Step 3.1

Subtract $a$ from $- 5 a$ .

$\frac{- 6 a - 13 y + 6 y}{7 a}$

Step 3.2

Add $- 13 y$ and $6 y$ .

$\frac{- 6 a - 7 y}{7 a}$

Step 3.3

Factor $- 1$ out of $- 6 a$ .

$\frac{- (6 a) - 7 y}{7 a}$

Step 3.4

Factor $- 1$ out of $- 7 y$ .

$\frac{- (6 a) - (7 y)}{7 a}$

Step 3.5

Factor $- 1$ out of $- (6 a) - (7 y)$ .

$\frac{- (6 a + 7 y)}{7 a}$

Step 3.6

Simplify the expression.

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Step 3.6.1

Rewrite $- (6 a + 7 y)$ as $- 1 (6 a + 7 y)$ .

$\frac{- 1 (6 a + 7 y)}{7 a}$

Step 3.6.2

Move the negative in front of the fraction.

$- \frac{6 a + 7 y}{7 a}$

$- \frac{6 a + 7 y}{7 a}$

$- \frac{6 a + 7 y}{7 a}$

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