Basic Math Examples

2 - 1 \frac{2}{3}

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

Step 1

Convert

1 \frac{2}{3}

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

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Step 1.1

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

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

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

Step 1.2

Add

1

$1$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

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

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

Step 1.2.2

Combine the numerators over the common denominator.

2 - \frac{3 + 2}{3}

$2 - \frac{3 + 2}{3}$

Step 1.2.3

Add

3

$3$ and

2

$2$ .

2 - \frac{5}{3}

$2 - \frac{5}{3}$

2 - \frac{5}{3}

$2 - \frac{5}{3}$

2 - \frac{5}{3}

$2 - \frac{5}{3}$

Step 2

To write

2

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

\frac{3}{3}

$\frac{3}{3}$ .

2 \cdot \frac{3}{3} - \frac{5}{3}

$2 \cdot \frac{3}{3} - \frac{5}{3}$

Step 3

Combine

2

$2$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{2 \cdot 3}{3} - \frac{5}{3}

$\frac{2 \cdot 3}{3} - \frac{5}{3}$

Step 4

Combine the numerators over the common denominator.

\frac{2 \cdot 3 - 5}{3}

$\frac{2 \cdot 3 - 5}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

2

$2$ by

3

$3$ .

\frac{6 - 5}{3}

$\frac{6 - 5}{3}$

Step 5.2

Subtract

5

$5$ from

6

$6$ .

\frac{1}{3}

$\frac{1}{3}$

\frac{1}{3}

$\frac{1}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{1}{3}

$\frac{1}{3}$

Decimal Form:

0.\overline{3}

$0.\overline{3}$