Basic Math Examples

$\frac{4 a + 6}{8} - \frac{4 a - 4}{8}$

Step 1

Combine the numerators over the common denominator.

$\frac{4 a + 6 - (4 a - 4)}{8}$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$\frac{4 a + 6 - (4 a) - - 4}{8}$

Step 2.2

Multiply $4$ by $- 1$ .

$\frac{4 a + 6 - 4 a - - 4}{8}$

Step 2.3

Multiply $- 1$ by $- 4$ .

$\frac{4 a + 6 - 4 a + 4}{8}$

Step 3

Simplify terms.

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Step 3.1

Combine the opposite terms in $4 a + 6 - 4 a + 4$ .

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Step 3.1.1

Subtract $4 a$ from $4 a$ .

$\frac{0 + 6 + 4}{8}$

Step 3.1.2

Add $0$ and $6$ .

$\frac{6 + 4}{8}$

Step 3.2

Add $6$ and $4$ .

$\frac{10}{8}$

Step 3.3

Cancel the common factor of $10$ and $8$ .

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Step 3.3.1

Factor $2$ out of $10$ .

$\frac{2 (5)}{8}$

Step 3.3.2

Cancel the common factors.

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Step 3.3.2.1

Factor $2$ out of $8$ .

$\frac{2 \cdot 5}{2 \cdot 4}$

Step 3.3.2.2

Cancel the common factor.

$\frac{2 \cdot 5}{2 \cdot 4}$

Step 3.3.2.3

Rewrite the expression.

$\frac{5}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$