Basic Math Examples

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

$5 \div 3 \frac{1}{4}$

Step 1

Convert

3 \frac{1}{4}

$3 \frac{1}{4}$ to an improper fraction.

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Step 1.1

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

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

$5 \div (3 + \frac{1}{4})$

Step 1.2

Add

3

$3$ and

\frac{1}{4}

$\frac{1}{4}$ .

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Step 1.2.1

To write

3

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

\frac{4}{4}

$\frac{4}{4}$ .

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

$5 \div (3 \cdot \frac{4}{4} + \frac{1}{4})$

Step 1.2.2

Combine

3

$3$ and

\frac{4}{4}

$\frac{4}{4}$ .

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

$5 \div (\frac{3 \cdot 4}{4} + \frac{1}{4})$

Step 1.2.3

Combine the numerators over the common denominator.

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

$5 \div \frac{3 \cdot 4 + 1}{4}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

3

$3$ by

4

$4$ .

5 \div \frac{12 + 1}{4}

$5 \div \frac{12 + 1}{4}$

Step 1.2.4.2

Add

12

$12$ and

1

$1$ .

5 \div \frac{13}{4}

$5 \div \frac{13}{4}$

5 \div \frac{13}{4}

$5 \div \frac{13}{4}$

5 \div \frac{13}{4}

$5 \div \frac{13}{4}$

5 \div \frac{13}{4}

$5 \div \frac{13}{4}$

Step 2

To divide by a fraction, multiply by its reciprocal.

5 (\frac{4}{13})

$5 (\frac{4}{13})$

Step 3

Multiply

5 (\frac{4}{13})

$5 (\frac{4}{13})$ .

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Step 3.1

Combine

5

$5$ and

\frac{4}{13}

$\frac{4}{13}$ .

\frac{5 \cdot 4}{13}

$\frac{5 \cdot 4}{13}$

Step 3.2

Multiply

5

$5$ by

4

$4$ .

\frac{20}{13}

$\frac{20}{13}$

\frac{20}{13}

$\frac{20}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{20}{13}

$\frac{20}{13}$

Decimal Form:

1.\overline{538461}

$1.\overline{538461}$

Mixed Number Form:

1 \frac{7}{13}

$1 \frac{7}{13}$