Basic Math Examples

18 \frac{1}{4} \cdot 18 \frac{1}{4}

$18 \frac{1}{4} \cdot 18 \frac{1}{4}$

Step 1

Convert

18 \frac{1}{4}

$18 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

(18 + \frac{1}{4}) \cdot 18 \frac{1}{4}

$(18 + \frac{1}{4}) \cdot 18 \frac{1}{4}$

Step 1.2

Add

18

$18$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

To write

18

$18$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

(18 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 18 \frac{1}{4}

$(18 \cdot \frac{4}{4} + \frac{1}{4}) \cdot 18 \frac{1}{4}$

Step 1.2.2

Combine

18

$18$ and

\frac{4}{4}

$\frac{4}{4}$ .

(\frac{18 \cdot 4}{4} + \frac{1}{4}) \cdot 18 \frac{1}{4}

$(\frac{18 \cdot 4}{4} + \frac{1}{4}) \cdot 18 \frac{1}{4}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{18 \cdot 4 + 1}{4} \cdot 18 \frac{1}{4}

$\frac{18 \cdot 4 + 1}{4} \cdot 18 \frac{1}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

18

$18$ by

4

$4$ .

\frac{72 + 1}{4} \cdot 18 \frac{1}{4}

$\frac{72 + 1}{4} \cdot 18 \frac{1}{4}$

Step 1.2.4.2

Add

72

$72$ and

1

$1$ .

\frac{73}{4} \cdot 18 \frac{1}{4}

$\frac{73}{4} \cdot 18 \frac{1}{4}$

\frac{73}{4} \cdot 18 \frac{1}{4}

$\frac{73}{4} \cdot 18 \frac{1}{4}$

\frac{73}{4} \cdot 18 \frac{1}{4}

$\frac{73}{4} \cdot 18 \frac{1}{4}$

\frac{73}{4} \cdot 18 \frac{1}{4}

$\frac{73}{4} \cdot 18 \frac{1}{4}$

Step 2

Convert

18 \frac{1}{4}

$18 \frac{1}{4}$ to an improper fraction.

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Step 2.1

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

\frac{73}{4} \cdot (18 + \frac{1}{4})

$\frac{73}{4} \cdot (18 + \frac{1}{4})$

Step 2.2

Add

18

$18$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 2.2.1

To write

18

$18$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{73}{4} \cdot (18 \cdot \frac{4}{4} + \frac{1}{4})

$\frac{73}{4} \cdot (18 \cdot \frac{4}{4} + \frac{1}{4})$

Step 2.2.2

Combine

18

$18$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{73}{4} \cdot (\frac{18 \cdot 4}{4} + \frac{1}{4})

$\frac{73}{4} \cdot (\frac{18 \cdot 4}{4} + \frac{1}{4})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{73}{4} \cdot \frac{18 \cdot 4 + 1}{4}

$\frac{73}{4} \cdot \frac{18 \cdot 4 + 1}{4}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

18

$18$ by

4

$4$ .

\frac{73}{4} \cdot \frac{72 + 1}{4}

$\frac{73}{4} \cdot \frac{72 + 1}{4}$

Step 2.2.4.2

Add

72

$72$ and

1

$1$ .

\frac{73}{4} \cdot \frac{73}{4}

$\frac{73}{4} \cdot \frac{73}{4}$

\frac{73}{4} \cdot \frac{73}{4}

$\frac{73}{4} \cdot \frac{73}{4}$

\frac{73}{4} \cdot \frac{73}{4}

$\frac{73}{4} \cdot \frac{73}{4}$

\frac{73}{4} \cdot \frac{73}{4}

$\frac{73}{4} \cdot \frac{73}{4}$

Step 3

Multiply

\frac{73}{4} \cdot \frac{73}{4}

$\frac{73}{4} \cdot \frac{73}{4}$ .

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Step 3.1

Multiply

\frac{73}{4}

$\frac{73}{4}$ by

\frac{73}{4}

$\frac{73}{4}$ .

\frac{73 \cdot 73}{4 \cdot 4}

$\frac{73 \cdot 73}{4 \cdot 4}$

Step 3.2

Multiply

73

$73$ by

73

$73$ .

\frac{5329}{4 \cdot 4}

$\frac{5329}{4 \cdot 4}$

Step 3.3

Multiply

4

$4$ by

4

$4$ .

\frac{5329}{16}

$\frac{5329}{16}$

\frac{5329}{16}

$\frac{5329}{16}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{5329}{16}

$\frac{5329}{16}$

Decimal Form:

333.0625

$333.0625$

Mixed Number Form:

333 \frac{1}{16}

$333 \frac{1}{16}$