Basic Math Examples

7 \frac{1}{3} \cdot \frac{3}{23}

$7 \frac{1}{3} \cdot \frac{3}{23}$

Step 1

Convert

7 \frac{1}{3}

$7 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

(7 + \frac{1}{3}) \cdot \frac{3}{23}

$(7 + \frac{1}{3}) \cdot \frac{3}{23}$

Step 1.2

Add

7

$7$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

(7 \cdot \frac{3}{3} + \frac{1}{3}) \cdot \frac{3}{23}

$(7 \cdot \frac{3}{3} + \frac{1}{3}) \cdot \frac{3}{23}$

Step 1.2.2

Combine

7

$7$ and

\frac{3}{3}

$\frac{3}{3}$ .

(\frac{7 \cdot 3}{3} + \frac{1}{3}) \cdot \frac{3}{23}

$(\frac{7 \cdot 3}{3} + \frac{1}{3}) \cdot \frac{3}{23}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{7 \cdot 3 + 1}{3} \cdot \frac{3}{23}

$\frac{7 \cdot 3 + 1}{3} \cdot \frac{3}{23}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

7

$7$ by

3

$3$ .

\frac{21 + 1}{3} \cdot \frac{3}{23}

$\frac{21 + 1}{3} \cdot \frac{3}{23}$

Step 1.2.4.2

Add

21

$21$ and

1

$1$ .

\frac{22}{3} \cdot \frac{3}{23}

$\frac{22}{3} \cdot \frac{3}{23}$

\frac{22}{3} \cdot \frac{3}{23}

$\frac{22}{3} \cdot \frac{3}{23}$

\frac{22}{3} \cdot \frac{3}{23}

$\frac{22}{3} \cdot \frac{3}{23}$

\frac{22}{3} \cdot \frac{3}{23}

$\frac{22}{3} \cdot \frac{3}{23}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Cancel the common factor.

$\frac{22}{3} \cdot \frac{3}{23}$

Step 2.2

Rewrite the expression.

$22 \cdot \frac{1}{23}$

Step 3

Combine

$22$ and

$\frac{1}{23}$ .

$\frac{22}{23}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{22}{23}$

Decimal Form:

$0.95652173 \dots$