Basic Math Examples

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

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

Step 1

Convert

4 \frac{1}{4}

$4 \frac{1}{4}$ 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{1}{4})

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

Step 1.2

Add

4

$4$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

To write

4

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

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 1.2.2

Combine

4

$4$ and

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 1.2.3

Combine the numerators over the common denominator.

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

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

4

$4$ by

4

$4$ .

6 \cdot \frac{16 + 1}{4}

$6 \cdot \frac{16 + 1}{4}$

Step 1.2.4.2

Add

16

$16$ and

1

$1$ .

6 \cdot \frac{17}{4}

$6 \cdot \frac{17}{4}$

6 \cdot \frac{17}{4}

$6 \cdot \frac{17}{4}$

6 \cdot \frac{17}{4}

$6 \cdot \frac{17}{4}$

6 \cdot \frac{17}{4}

$6 \cdot \frac{17}{4}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

6

$6$ .

2 (3) \cdot \frac{17}{4}

$2 (3) \cdot \frac{17}{4}$

Step 2.2

Factor

2

$2$ out of

4

$4$ .

2 \cdot 3 \cdot \frac{17}{2 \cdot 2}

$2 \cdot 3 \cdot \frac{17}{2 \cdot 2}$

Step 2.3

Cancel the common factor.

$2 \cdot 3 \cdot \frac{17}{2 \cdot 2}$

Step 2.4

Rewrite the expression.

$3 \cdot \frac{17}{2}$

Step 3

Combine

$3$ and

$\frac{17}{2}$ .

$\frac{3 \cdot 17}{2}$

Step 4

Multiply

$3$ by

$17$ .

$\frac{51}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{51}{2}$

Decimal Form:

$25.5$

Mixed Number Form:

$25 \frac{1}{2}$