Basic Math Examples

$(2 \frac{4}{2}) - (- 3 \frac{3}{3})$

Step 1

Convert $2 \frac{4}{2}$ to an improper fraction.

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Step 1.1

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

$2 + \frac{4}{2} - (- 3 \frac{3}{3})$

Step 1.2

Add $2$ and $\frac{4}{2}$ .

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Step 1.2.1

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

$2 \cdot \frac{2}{2} + \frac{4}{2} - (- 3 \frac{3}{3})$

Step 1.2.2

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

$\frac{2 \cdot 2}{2} + \frac{4}{2} - (- 3 \frac{3}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 2 + 4}{2} - (- 3 \frac{3}{3})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $2$ .

$\frac{4 + 4}{2} - (- 3 \frac{3}{3})$

Step 1.2.4.2

Add $4$ and $4$ .

$\frac{8}{2} - (- 3 \frac{3}{3})$

Step 2

Divide $8$ by $2$ .

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

Step 3

Convert $3 \frac{3}{3}$ to an improper fraction.

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Step 3.1

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

$4 - - (3 + \frac{3}{3})$

Step 3.2

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

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Step 3.2.1

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

$4 - - (3 \cdot \frac{3}{3} + \frac{3}{3})$

Step 3.2.2

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

$4 - - (\frac{3 \cdot 3}{3} + \frac{3}{3})$

Step 3.2.3

Combine the numerators over the common denominator.

$4 - - \frac{3 \cdot 3 + 3}{3}$

Step 3.2.4

Simplify the numerator.

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Step 3.2.4.1

Multiply $3$ by $3$ .

$4 - - \frac{9 + 3}{3}$

Step 3.2.4.2

Add $9$ and $3$ .

$4 - - \frac{12}{3}$

Step 4

Divide $12$ by $3$ .

$4 - (- 1 \cdot 4)$

Step 5

Multiply $- (- 1 \cdot 4)$ .

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Step 5.1

Multiply $- 1$ by $4$ .

$4 - - 4$

Step 5.2

Multiply $- 1$ by $- 4$ .

$4 + 4$

Step 6

Add $4$ and $4$ .

$8$