Algebra Examples

What is $- 3 \frac{1}{3}$ written as a decimal?

Step 1

Write the problem as a mathematical expression.

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

Step 2

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

$- (3 + \frac{1}{3})$

Step 3

Add $3$ and $\frac{1}{3}$ .

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Step 3.1

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

$- (3 \cdot \frac{3}{3} + \frac{1}{3})$

Step 3.2

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

$- (\frac{3 \cdot 3}{3} + \frac{1}{3})$

Step 3.3

Combine the numerators over the common denominator.

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

Step 3.4

Simplify the numerator.

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Step 3.4.1

Multiply $3$ by $3$ .

$- \frac{9 + 1}{3}$

Step 3.4.2

Add $9$ and $1$ .

$- \frac{10}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{10}{3}$

Decimal Form:

$- 3.\overline{3}$

Mixed Number Form:

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

Step 5

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