Basic Math Examples

20 \div 2 \frac{3}{5}

$20 \div 2 \frac{3}{5}$

Step 1

Convert

2 \frac{3}{5}

$2 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

20 \div (2 + \frac{3}{5})

$20 \div (2 + \frac{3}{5})$

Step 1.2

Add

2

$2$ and

\frac{3}{5}

$\frac{3}{5}$ .

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Step 1.2.1

To write

2

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

\frac{5}{5}

$\frac{5}{5}$ .

20 \div (2 \cdot \frac{5}{5} + \frac{3}{5})

$20 \div (2 \cdot \frac{5}{5} + \frac{3}{5})$

Step 1.2.2

Combine

2

$2$ and

\frac{5}{5}

$\frac{5}{5}$ .

20 \div (\frac{2 \cdot 5}{5} + \frac{3}{5})

$20 \div (\frac{2 \cdot 5}{5} + \frac{3}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

20 \div \frac{2 \cdot 5 + 3}{5}

$20 \div \frac{2 \cdot 5 + 3}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

5

$5$ .

20 \div \frac{10 + 3}{5}

$20 \div \frac{10 + 3}{5}$

Step 1.2.4.2

Add

10

$10$ and

3

$3$ .

20 \div \frac{13}{5}

$20 \div \frac{13}{5}$

20 \div \frac{13}{5}

$20 \div \frac{13}{5}$

20 \div \frac{13}{5}

$20 \div \frac{13}{5}$

20 \div \frac{13}{5}

$20 \div \frac{13}{5}$

Step 2

To divide by a fraction, multiply by its reciprocal.

20 (\frac{5}{13})

$20 (\frac{5}{13})$

Step 3

Multiply

20 (\frac{5}{13})

$20 (\frac{5}{13})$ .

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Step 3.1

Combine

20

$20$ and

\frac{5}{13}

$\frac{5}{13}$ .

\frac{20 \cdot 5}{13}

$\frac{20 \cdot 5}{13}$

Step 3.2

Multiply

20

$20$ by

5

$5$ .

\frac{100}{13}

$\frac{100}{13}$

\frac{100}{13}

$\frac{100}{13}$

Step 4

The result can be shown in multiple forms.

Exact Form:

\frac{100}{13}

$\frac{100}{13}$

Decimal Form:

7. ¯ ¯¯¯¯¯¯¯¯¯¯ ¯ 692307

$7.\overline{692307}$

Mixed Number Form:

7 \frac{9}{13}

$7 \frac{9}{13}$