Basic Math Examples

11 \cdot 9 \frac{1}{4}

$11 \cdot 9 \frac{1}{4}$

Step 1

Convert

$9 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

$11 \cdot (9 + \frac{1}{4})$

Step 1.2

Add

$9$ and

$\frac{1}{4}$ .

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Step 1.2.1

To write

$9$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$11 \cdot (9 \cdot \frac{4}{4} + \frac{1}{4})$

Step 1.2.2

Combine

$9$ and

$\frac{4}{4}$ .

$11 \cdot (\frac{9 \cdot 4}{4} + \frac{1}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

$11 \cdot \frac{9 \cdot 4 + 1}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$9$ by

$4$ .

$11 \cdot \frac{36 + 1}{4}$

Step 1.2.4.2

Add

$36$ and

$1$ .

$11 \cdot \frac{37}{4}$

Step 2

Multiply

$11 (\frac{37}{4})$ .

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Step 2.1

Combine

$11$ and

$\frac{37}{4}$ .

$\frac{11 \cdot 37}{4}$

Step 2.2

Multiply

$11$ by

$37$ .

$\frac{407}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{407}{4}$

Decimal Form:

$101.75$

Mixed Number Form:

$101 \frac{3}{4}$