Basic Math Examples

$18 \div 2 \frac{1}{4}$

Step 1

Convert

$2 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

$18 \div (2 + \frac{1}{4})$

Step 1.2

Add

$2$ and

$\frac{1}{4}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$18 \div (2 \cdot \frac{4}{4} + \frac{1}{4})$

Step 1.2.2

Combine

$2$ and

$\frac{4}{4}$ .

$18 \div (\frac{2 \cdot 4}{4} + \frac{1}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

$18 \div \frac{2 \cdot 4 + 1}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$4$ .

$18 \div \frac{8 + 1}{4}$

Step 1.2.4.2

Add

$8$ and

$1$ .

$18 \div \frac{9}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$18 (\frac{4}{9})$

Step 3

Cancel the common factor of

$9$ .

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Step 3.1

Factor

$9$ out of

$18$ .

$9 (2) \frac{4}{9}$

Step 3.2

Cancel the common factor.

$9 \cdot 2 \frac{4}{9}$

Step 3.3

Rewrite the expression.

$2 \cdot 4$

Step 4

Multiply

$2$ by

$4$ .

$8$