Basic Math Examples

$6 \frac{7}{12} \cdot 6$

Step 1

Convert

$6 \frac{7}{12}$ to an improper fraction.

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Step 1.1

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

$(6 + \frac{7}{12}) \cdot 6$

Step 1.2

Add

$6$ and

$\frac{7}{12}$ .

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Step 1.2.1

To write

$6$ as a fraction with a common denominator, multiply by

$\frac{12}{12}$ .

$(6 \cdot \frac{12}{12} + \frac{7}{12}) \cdot 6$

Step 1.2.2

Combine

$6$ and

$\frac{12}{12}$ .

$(\frac{6 \cdot 12}{12} + \frac{7}{12}) \cdot 6$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 12 + 7}{12} \cdot 6$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$6$ by

$12$ .

$\frac{72 + 7}{12} \cdot 6$

Step 1.2.4.2

Add

$72$ and

$7$ .

$\frac{79}{12} \cdot 6$

Step 2

Cancel the common factor of

$6$ .

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Step 2.1

Factor

$6$ out of

$12$ .

$\frac{79}{6 (2)} \cdot 6$

Step 2.2

Cancel the common factor.

$\frac{79}{6 \cdot 2} \cdot 6$

Step 2.3

Rewrite the expression.

$\frac{79}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{79}{2}$

Decimal Form:

$39.5$

Mixed Number Form:

$39 \frac{1}{2}$