Pre-Algebra Examples

$9 \frac{1}{2} + 20.5 \div 3$

Step 1

Simplify and reorder the polynomial.

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Step 1.1

Convert $9 \frac{1}{2}$ to an improper fraction.

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Step 1.1.1

A mixed number is an addition of its whole and fractional parts.

$9 + \frac{1}{2} + 20.5 \div 3$

Step 1.1.2

Add $9$ and $\frac{1}{2}$ .

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Step 1.1.2.1

To write $9$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$9 \cdot \frac{2}{2} + \frac{1}{2} + 20.5 \div 3$

Step 1.1.2.2

Combine $9$ and $\frac{2}{2}$ .

$\frac{9 \cdot 2}{2} + \frac{1}{2} + 20.5 \div 3$

Step 1.1.2.3

Combine the numerators over the common denominator.

$\frac{9 \cdot 2 + 1}{2} + 20.5 \div 3$

Step 1.1.2.4

Simplify the numerator.

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Step 1.1.2.4.1

Multiply $9$ by $2$ .

$\frac{18 + 1}{2} + 20.5 \div 3$

Step 1.1.2.4.2

Add $18$ and $1$ .

$\frac{19}{2} + 20.5 \div 3$

Step 1.2

Divide $20.5$ by $3$ .

$\frac{19}{2} + 6.8\overline{3}$

Step 1.3

To write $6.8\overline{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{19}{2} + 6.8\overline{3} \cdot \frac{2}{2}$

Step 1.4

Combine fractions.

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Step 1.4.1

Combine $6.8\overline{3}$ and $\frac{2}{2}$ .

$\frac{19}{2} + \frac{6.8\overline{3} \cdot 2}{2}$

Step 1.4.2

Combine the numerators over the common denominator.

$\frac{19 + 6.8\overline{3} \cdot 2}{2}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $6.8\overline{3}$ by $2$ .

$\frac{19 + 13.\overline{6}}{2}$

Step 1.5.2

Add $19$ and $13.\overline{6}$ .

$\frac{32.\overline{6}}{2}$

Step 1.6

Divide $32.\overline{6}$ by $2$ .

$16.\overline{3}$

Step 2

The expression is constant, which means it can be rewritten with a factor of $x^{0}$ . The degree is the largest exponent on the variable.

$0$