Basic Math Examples

6 \frac{1}{2} \cdot 4

$6 \frac{1}{2} \cdot 4$

Step 1

Convert

6 \frac{1}{2}

$6 \frac{1}{2}$ 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{1}{2}) \cdot 4

$(6 + \frac{1}{2}) \cdot 4$

Step 1.2

Add

6

$6$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

6

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

\frac{2}{2}

$\frac{2}{2}$ .

(6 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 4

$(6 \cdot \frac{2}{2} + \frac{1}{2}) \cdot 4$

Step 1.2.2

Combine

6

$6$ and

\frac{2}{2}

$\frac{2}{2}$ .

(\frac{6 \cdot 2}{2} + \frac{1}{2}) \cdot 4

$(\frac{6 \cdot 2}{2} + \frac{1}{2}) \cdot 4$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 2 + 1}{2} \cdot 4

$\frac{6 \cdot 2 + 1}{2} \cdot 4$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

2

$2$ .

\frac{12 + 1}{2} \cdot 4

$\frac{12 + 1}{2} \cdot 4$

Step 1.2.4.2

Add

12

$12$ and

1

$1$ .

\frac{13}{2} \cdot 4

$\frac{13}{2} \cdot 4$

\frac{13}{2} \cdot 4

$\frac{13}{2} \cdot 4$

\frac{13}{2} \cdot 4

$\frac{13}{2} \cdot 4$

\frac{13}{2} \cdot 4

$\frac{13}{2} \cdot 4$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

4

$4$ .

\frac{13}{2} \cdot (2 (2))

$\frac{13}{2} \cdot (2 (2))$

Step 2.2

Cancel the common factor.

$\frac{13}{2} \cdot (2 \cdot 2)$

Step 2.3

Rewrite the expression.

$13 \cdot 2$

Step 3

Multiply

$13$ by

$2$ .

$26$