Basic Math Examples

6 \cdot 4 \frac{2}{3}

$6 \cdot 4 \frac{2}{3}$

Step 1

Convert

4 \frac{2}{3}

$4 \frac{2}{3}$ to an improper fraction.

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Step 1.1

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

6 \cdot (4 + \frac{2}{3})

$6 \cdot (4 + \frac{2}{3})$

Step 1.2

Add

4

$4$ and

\frac{2}{3}

$\frac{2}{3}$ .

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Step 1.2.1

To write

4

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

\frac{3}{3}

$\frac{3}{3}$ .

6 \cdot (4 \cdot \frac{3}{3} + \frac{2}{3})

$6 \cdot (4 \cdot \frac{3}{3} + \frac{2}{3})$

Step 1.2.2

Combine

4

$4$ and

\frac{3}{3}

$\frac{3}{3}$ .

6 \cdot (\frac{4 \cdot 3}{3} + \frac{2}{3})

$6 \cdot (\frac{4 \cdot 3}{3} + \frac{2}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

6 \cdot \frac{4 \cdot 3 + 2}{3}

$6 \cdot \frac{4 \cdot 3 + 2}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

4

$4$ by

3

$3$ .

6 \cdot \frac{12 + 2}{3}

$6 \cdot \frac{12 + 2}{3}$

Step 1.2.4.2

Add

12

$12$ and

2

$2$ .

6 \cdot \frac{14}{3}

$6 \cdot \frac{14}{3}$

6 \cdot \frac{14}{3}

$6 \cdot \frac{14}{3}$

6 \cdot \frac{14}{3}

$6 \cdot \frac{14}{3}$

6 \cdot \frac{14}{3}

$6 \cdot \frac{14}{3}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Factor

3

$3$ out of

6

$6$ .

3 (2) \cdot \frac{14}{3}

$3 (2) \cdot \frac{14}{3}$

Step 2.2

Cancel the common factor.

$3 \cdot 2 \cdot \frac{14}{3}$

Step 2.3

Rewrite the expression.

$2 \cdot 14$

Step 3

Multiply

$2$ by

$14$ .

$28$