Basic Math Examples

6 \frac{3}{8} \cdot 4

$6 \frac{3}{8} \cdot 4$

Step 1

Convert

6 \frac{3}{8}

$6 \frac{3}{8}$ 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{3}{8}) \cdot 4

$(6 + \frac{3}{8}) \cdot 4$

Step 1.2

Add

6

$6$ and

\frac{3}{8}

$\frac{3}{8}$ .

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Step 1.2.1

To write

6

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

\frac{8}{8}

$\frac{8}{8}$ .

(6 \cdot \frac{8}{8} + \frac{3}{8}) \cdot 4

$(6 \cdot \frac{8}{8} + \frac{3}{8}) \cdot 4$

Step 1.2.2

Combine

6

$6$ and

\frac{8}{8}

$\frac{8}{8}$ .

(\frac{6 \cdot 8}{8} + \frac{3}{8}) \cdot 4

$(\frac{6 \cdot 8}{8} + \frac{3}{8}) \cdot 4$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{6 \cdot 8 + 3}{8} \cdot 4

$\frac{6 \cdot 8 + 3}{8} \cdot 4$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

6

$6$ by

8

$8$ .

\frac{48 + 3}{8} \cdot 4

$\frac{48 + 3}{8} \cdot 4$

Step 1.2.4.2

Add

48

$48$ and

3

$3$ .

\frac{51}{8} \cdot 4

$\frac{51}{8} \cdot 4$

\frac{51}{8} \cdot 4

$\frac{51}{8} \cdot 4$

\frac{51}{8} \cdot 4

$\frac{51}{8} \cdot 4$

\frac{51}{8} \cdot 4

$\frac{51}{8} \cdot 4$

Step 2

Cancel the common factor of

4

$4$ .

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Step 2.1

Factor

4

$4$ out of

8

$8$ .

\frac{51}{4 (2)} \cdot 4

$\frac{51}{4 (2)} \cdot 4$

Step 2.2

Cancel the common factor.

$\frac{51}{4 \cdot 2} \cdot 4$

Step 2.3

Rewrite the expression.

$\frac{51}{2}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{51}{2}$

Decimal Form:

$25.5$

Mixed Number Form:

$25 \frac{1}{2}$