Basic Math Examples

1 \frac{3}{5} \div 1 \frac{4}{9}

$1 \frac{3}{5} \div 1 \frac{4}{9}$

Step 1

Convert

1 \frac{3}{5}

$1 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

(1 + \frac{3}{5}) \div 1 \frac{4}{9}

$(1 + \frac{3}{5}) \div 1 \frac{4}{9}$

Step 1.2

Add

1

$1$ and

\frac{3}{5}

$\frac{3}{5}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{5}{5} + \frac{3}{5}) \div 1 \frac{4}{9}

$(\frac{5}{5} + \frac{3}{5}) \div 1 \frac{4}{9}$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{5 + 3}{5} \div 1 \frac{4}{9}

$\frac{5 + 3}{5} \div 1 \frac{4}{9}$

Step 1.2.3

Add

5

$5$ and

3

$3$ .

\frac{8}{5} \div 1 \frac{4}{9}

$\frac{8}{5} \div 1 \frac{4}{9}$

\frac{8}{5} \div 1 \frac{4}{9}

$\frac{8}{5} \div 1 \frac{4}{9}$

\frac{8}{5} \div 1 \frac{4}{9}

$\frac{8}{5} \div 1 \frac{4}{9}$

Step 2

Convert

1 \frac{4}{9}

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

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Step 2.1

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

\frac{8}{5} \div (1 + \frac{4}{9})

$\frac{8}{5} \div (1 + \frac{4}{9})$

Step 2.2

Add

1

$1$ and

\frac{4}{9}

$\frac{4}{9}$ .

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Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{8}{5} \div (\frac{9}{9} + \frac{4}{9})

$\frac{8}{5} \div (\frac{9}{9} + \frac{4}{9})$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{8}{5} \div \frac{9 + 4}{9}

$\frac{8}{5} \div \frac{9 + 4}{9}$

Step 2.2.3

Add

9

$9$ and

4

$4$ .

\frac{8}{5} \div \frac{13}{9}

$\frac{8}{5} \div \frac{13}{9}$

\frac{8}{5} \div \frac{13}{9}

$\frac{8}{5} \div \frac{13}{9}$

\frac{8}{5} \div \frac{13}{9}

$\frac{8}{5} \div \frac{13}{9}$

Step 3

To divide by a fraction, multiply by its reciprocal.

\frac{8}{5} \cdot \frac{9}{13}

$\frac{8}{5} \cdot \frac{9}{13}$

Step 4

Multiply

\frac{8}{5} \cdot \frac{9}{13}

$\frac{8}{5} \cdot \frac{9}{13}$ .

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Step 4.1

Multiply

\frac{8}{5}

$\frac{8}{5}$ by

\frac{9}{13}

$\frac{9}{13}$ .

\frac{8 \cdot 9}{5 \cdot 13}

$\frac{8 \cdot 9}{5 \cdot 13}$

Step 4.2

Multiply

8

$8$ by

9

$9$ .

\frac{72}{5 \cdot 13}

$\frac{72}{5 \cdot 13}$

Step 4.3

Multiply

5

$5$ by

13

$13$ .

\frac{72}{65}

$\frac{72}{65}$

\frac{72}{65}

$\frac{72}{65}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{72}{65}

$\frac{72}{65}$

Decimal Form:

1.10769230 \dots

$1.10769230 \dots$

Mixed Number Form:

1 \frac{7}{65}

$1 \frac{7}{65}$