Basic Math Examples

$\frac{15}{5} - \frac{8}{16^{2}}$

Step 1

Simplify each term.

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Step 1.1

Divide $15$ by $5$ .

$3 - \frac{8}{16^{2}}$

Step 1.2

Raise $16$ to the power of $2$ .

$3 - \frac{8}{256}$

Step 1.3

Cancel the common factor of $8$ and $256$ .

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Step 1.3.1

Factor $8$ out of $8$ .

$3 - \frac{8 (1)}{256}$

Step 1.3.2

Cancel the common factors.

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Step 1.3.2.1

Factor $8$ out of $256$ .

$3 - \frac{8 \cdot 1}{8 \cdot 32}$

Step 1.3.2.2

Cancel the common factor.

$3 - \frac{8 \cdot 1}{8 \cdot 32}$

Step 1.3.2.3

Rewrite the expression.

$3 - \frac{1}{32}$

Step 2

To write $3$ as a fraction with a common denominator, multiply by $\frac{32}{32}$ .

$3 \cdot \frac{32}{32} - \frac{1}{32}$

Step 3

Combine $3$ and $\frac{32}{32}$ .

$\frac{3 \cdot 32}{32} - \frac{1}{32}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 32 - 1}{32}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $3$ by $32$ .

$\frac{96 - 1}{32}$

Step 5.2

Subtract $1$ from $96$ .

$\frac{95}{32}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{95}{32}$

Decimal Form:

$2.96875$

Mixed Number Form:

$2 \frac{31}{32}$