Basic Math Examples

\frac{3}{4} \div 3 \frac{1}{3}

$\frac{3}{4} \div 3 \frac{1}{3}$

Step 1

Convert

3 \frac{1}{3}

$3 \frac{1}{3}$ to an improper fraction.

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Step 1.1

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

\frac{3}{4} \div (3 + \frac{1}{3})

$\frac{3}{4} \div (3 + \frac{1}{3})$

Step 1.2

Add

3

$3$ and

\frac{1}{3}

$\frac{1}{3}$ .

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Step 1.2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3}{4} \div (3 \cdot \frac{3}{3} + \frac{1}{3})

$\frac{3}{4} \div (3 \cdot \frac{3}{3} + \frac{1}{3})$

Step 1.2.2

Combine

3

$3$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3}{4} \div (\frac{3 \cdot 3}{3} + \frac{1}{3})

$\frac{3}{4} \div (\frac{3 \cdot 3}{3} + \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{3}{4} \div \frac{3 \cdot 3 + 1}{3}

$\frac{3}{4} \div \frac{3 \cdot 3 + 1}{3}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

3

$3$ .

\frac{3}{4} \div \frac{9 + 1}{3}

$\frac{3}{4} \div \frac{9 + 1}{3}$

Step 1.2.4.2

Add

9

$9$ and

1

$1$ .

\frac{3}{4} \div \frac{10}{3}

$\frac{3}{4} \div \frac{10}{3}$

\frac{3}{4} \div \frac{10}{3}

$\frac{3}{4} \div \frac{10}{3}$

\frac{3}{4} \div \frac{10}{3}

$\frac{3}{4} \div \frac{10}{3}$

\frac{3}{4} \div \frac{10}{3}

$\frac{3}{4} \div \frac{10}{3}$

Step 2

To divide by a fraction, multiply by its reciprocal.

\frac{3}{4} \cdot \frac{3}{10}

$\frac{3}{4} \cdot \frac{3}{10}$

Step 3

Multiply

\frac{3}{4} \cdot \frac{3}{10}

$\frac{3}{4} \cdot \frac{3}{10}$ .

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Step 3.1

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{3}{10}

$\frac{3}{10}$ .

\frac{3 \cdot 3}{4 \cdot 10}

$\frac{3 \cdot 3}{4 \cdot 10}$

Step 3.2

Multiply

3

$3$ by

3

$3$ .

\frac{9}{4 \cdot 10}

$\frac{9}{4 \cdot 10}$

Step 3.3

Multiply

4

$4$ by

10

$10$ .

\frac{9}{40}

$\frac{9}{40}$

\frac{9}{40}

$\frac{9}{40}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{9}{40}

$\frac{9}{40}$

Decimal Form:

0.225

$0.225$