Basic Math Examples

$16 - 2 \div 8 + 5$

Step 1

Find the common denominator.

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Step 1.1

Write $16$ as a fraction with denominator $1$ .

$\frac{16}{1} - 2 \div 8 + 5$

Step 1.2

Multiply $\frac{16}{1}$ by $\frac{8}{8}$ .

$\frac{16}{1} \cdot \frac{8}{8} - 2 \div 8 + 5$

Step 1.3

Multiply $\frac{16}{1}$ by $\frac{8}{8}$ .

$\frac{16 \cdot 8}{8} - 2 \div 8 + 5$

Step 1.4

Write $5$ as a fraction with denominator $1$ .

$\frac{16 \cdot 8}{8} - 2 \div 8 + \frac{5}{1}$

Step 1.5

Multiply $\frac{5}{1}$ by $\frac{8}{8}$ .

$\frac{16 \cdot 8}{8} - 2 \div 8 + \frac{5}{1} \cdot \frac{8}{8}$

Step 1.6

Multiply $\frac{5}{1}$ by $\frac{8}{8}$ .

$\frac{16 \cdot 8}{8} - 2 \div 8 + \frac{5 \cdot 8}{8}$

Step 2

Combine the numerators over the common denominator.

$\frac{16 \cdot 8 - 2 + 5 \cdot 8}{8}$

Step 3

Simplify each term.

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Step 3.1

Multiply $16$ by $8$ .

$\frac{128 - 2 + 5 \cdot 8}{8}$

Step 3.2

Multiply $5$ by $8$ .

$\frac{128 - 2 + 40}{8}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Subtract $2$ from $128$ .

$\frac{126 + 40}{8}$

Step 4.2

Add $126$ and $40$ .

$\frac{166}{8}$

Step 4.3

Cancel the common factor of $166$ and $8$ .

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Step 4.3.1

Factor $2$ out of $166$ .

$\frac{2 (83)}{8}$

Step 4.3.2

Cancel the common factors.

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Step 4.3.2.1

Factor $2$ out of $8$ .

$\frac{2 \cdot 83}{2 \cdot 4}$

Step 4.3.2.2

Cancel the common factor.

$\frac{2 \cdot 83}{2 \cdot 4}$

Step 4.3.2.3

Rewrite the expression.

$\frac{83}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{83}{4}$

Decimal Form:

$20.75$

Mixed Number Form:

$20 \frac{3}{4}$