Basic Math Examples

$\frac{1}{4} \cdot (- 24 + 8 m - 100 p)$

Step 1

Apply the distributive property.

$\frac{1}{4} \cdot - 24 + \frac{1}{4} (8 m) + \frac{1}{4} (- 100 p)$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $4$ .

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Step 2.1.1

Factor $4$ out of $- 24$ .

$\frac{1}{4} \cdot (4 (- 6)) + \frac{1}{4} (8 m) + \frac{1}{4} (- 100 p)$

Step 2.1.2

Cancel the common factor.

$\frac{1}{4} \cdot (4 \cdot - 6) + \frac{1}{4} (8 m) + \frac{1}{4} (- 100 p)$

Step 2.1.3

Rewrite the expression.

$- 6 + \frac{1}{4} (8 m) + \frac{1}{4} (- 100 p)$

Step 2.2

Cancel the common factor of $4$ .

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Step 2.2.1

Factor $4$ out of $8 m$ .

$- 6 + \frac{1}{4} (4 (2 m)) + \frac{1}{4} (- 100 p)$

Step 2.2.2

Cancel the common factor.

$- 6 + \frac{1}{4} (4 (2 m)) + \frac{1}{4} (- 100 p)$

Step 2.2.3

Rewrite the expression.

$- 6 + 2 m + \frac{1}{4} (- 100 p)$

Step 2.3

Cancel the common factor of $4$ .

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Step 2.3.1

Factor $4$ out of $- 100 p$ .

$- 6 + 2 m + \frac{1}{4} (4 (- 25 p))$

Step 2.3.2

Cancel the common factor.

$- 6 + 2 m + \frac{1}{4} (4 (- 25 p))$

Step 2.3.3

Rewrite the expression.

$- 6 + 2 m - 25 p$

Step 3

Move $- 6$ .

$2 m - 25 p - 6$