Basic Math Examples

4 - 2 \frac{1}{3}

$4 - 2 \frac{1}{3}$

Step 1

Convert

2 \frac{1}{3}

$2 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

4 - (2 + \frac{1}{3})

$4 - (2 + \frac{1}{3})$

Step 1.2

Add

2

$2$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

4 - (2 \cdot \frac{3}{3} + \frac{1}{3})

$4 - (2 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

2

$2$ and

\frac{3}{3}

$\frac{3}{3}$ .

4 - (\frac{2 \cdot 3}{3} + \frac{1}{3})

$4 - (\frac{2 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

4 - \frac{2 \cdot 3 + 1}{3}

$4 - \frac{2 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

3

$3$ .

4 - \frac{6 + 1}{3}

$4 - \frac{6 + 1}{3}$

Step 1.2.4.2

Add

6

$6$ and

1

$1$ .

4 - \frac{7}{3}

$4 - \frac{7}{3}$

4 - \frac{7}{3}

$4 - \frac{7}{3}$

4 - \frac{7}{3}

$4 - \frac{7}{3}$

4 - \frac{7}{3}

$4 - \frac{7}{3}$

Step 2

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

4 \cdot \frac{3}{3} - \frac{7}{3}

$4 \cdot \frac{3}{3} - \frac{7}{3}$

Step 3

Combine

4

$4$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{4 \cdot 3}{3} - \frac{7}{3}

$\frac{4 \cdot 3}{3} - \frac{7}{3}$

Step 4

Combine the numerators over the common denominator.

\frac{4 \cdot 3 - 7}{3}

$\frac{4 \cdot 3 - 7}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

4

$4$ by

3

$3$ .

\frac{12 - 7}{3}

$\frac{12 - 7}{3}$

Step 5.2

Subtract

7

$7$ from

12

$12$ .

\frac{5}{3}

$\frac{5}{3}$

\frac{5}{3}

$\frac{5}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{5}{3}

$\frac{5}{3}$

Decimal Form:

1. ¯ 6

$1.\overline{6}$

Mixed Number Form:

1 \frac{2}{3}

$1 \frac{2}{3}$