Algebra Examples

$4 - \frac{5}{4 m + 8}$

Step 1

Factor $4$ out of $4 m + 8$ .

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Step 1.1

Factor $4$ out of $4 m$ .

$4 - \frac{5}{4 (m) + 8}$

Step 1.2

Factor $4$ out of $8$ .

$4 - \frac{5}{4 m + 4 \cdot 2}$

Step 1.3

Factor $4$ out of $4 m + 4 \cdot 2$ .

$4 - \frac{5}{4 (m + 2)}$

Step 2

To write $4$ as a fraction with a common denominator, multiply by $\frac{4 (m + 2)}{4 (m + 2)}$ .

$4 \cdot \frac{4 (m + 2)}{4 (m + 2)} - \frac{5}{4 (m + 2)}$

Step 3

Simplify terms.

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Step 3.1

Combine $4$ and $\frac{4 (m + 2)}{4 (m + 2)}$ .

$\frac{4 (4 (m + 2))}{4 (m + 2)} - \frac{5}{4 (m + 2)}$

Step 3.2

Combine the numerators over the common denominator.

$\frac{4 (4 (m + 2)) - 5}{4 (m + 2)}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $4$ by $4$ .

$\frac{16 (m + 2) - 5}{4 (m + 2)}$

Step 4.2

Apply the distributive property.

$\frac{16 m + 16 \cdot 2 - 5}{4 (m + 2)}$

Step 4.3

Multiply $16$ by $2$ .

$\frac{16 m + 32 - 5}{4 (m + 2)}$

Step 4.4

Subtract $5$ from $32$ .

$\frac{16 m + 27}{4 (m + 2)}$