Basic Math Examples

$100 (1 - \frac{1}{2^{2}})$

Step 1

Simplify the expression.

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Step 1.1

Raise $2$ to the power of $2$ .

$100 (1 - \frac{1}{4})$

Step 1.2

Write $1$ as a fraction with a common denominator.

$100 (\frac{4}{4} - \frac{1}{4})$

Step 1.3

Combine the numerators over the common denominator.

$100 \frac{4 - 1}{4}$

Step 1.4

Subtract $1$ from $4$ .

$100 (\frac{3}{4})$

Step 2

Cancel the common factor of $4$ .

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Step 2.1

Factor $4$ out of $100$ .

$4 (25) \frac{3}{4}$

Step 2.2

Cancel the common factor.

$4 \cdot 25 \frac{3}{4}$

Step 2.3

Rewrite the expression.

$25 \cdot 3$

Step 3

Multiply $25$ by $3$ .

$75$