Basic Math Examples

2 \frac{1}{3} \cdot \frac{1}{7}

$2 \frac{1}{3} \cdot \frac{1}{7}$

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.

(2 + \frac{1}{3}) \cdot \frac{1}{7}

$(2 + \frac{1}{3}) \cdot \frac{1}{7}$

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}

$\frac{3}{3}$ .

(2 \cdot \frac{3}{3} + \frac{1}{3}) \cdot \frac{1}{7}

$(2 \cdot \frac{3}{3} + \frac{1}{3}) \cdot \frac{1}{7}$

Step 1.2.2

Combine

2

$2$ and

\frac{3}{3}

$\frac{3}{3}$ .

(\frac{2 \cdot 3}{3} + \frac{1}{3}) \cdot \frac{1}{7}

$(\frac{2 \cdot 3}{3} + \frac{1}{3}) \cdot \frac{1}{7}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 3 + 1}{3} \cdot \frac{1}{7}

$\frac{2 \cdot 3 + 1}{3} \cdot \frac{1}{7}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

3

$3$ .

\frac{6 + 1}{3} \cdot \frac{1}{7}

$\frac{6 + 1}{3} \cdot \frac{1}{7}$

Step 1.2.4.2

Add

6

$6$ and

1

$1$ .

\frac{7}{3} \cdot \frac{1}{7}

$\frac{7}{3} \cdot \frac{1}{7}$

\frac{7}{3} \cdot \frac{1}{7}

$\frac{7}{3} \cdot \frac{1}{7}$

\frac{7}{3} \cdot \frac{1}{7}

$\frac{7}{3} \cdot \frac{1}{7}$

\frac{7}{3} \cdot \frac{1}{7}

$\frac{7}{3} \cdot \frac{1}{7}$

Step 2

Cancel the common factor of

7

$7$ .

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Step 2.1

Cancel the common factor.

$\frac{7}{3} \cdot \frac{1}{7}$

Step 2.2

Rewrite the expression.

$\frac{1}{3}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{3}$

Decimal Form:

$0.\overline{3}$