Basic Math Examples

2 \frac{1}{8} \div 10 \frac{5}{8}

$2 \frac{1}{8} \div 10 \frac{5}{8}$

Step 1

Convert

2 \frac{1}{8}

$2 \frac{1}{8}$ to an improper fraction.

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Step 1.1

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

(2 + \frac{1}{8}) \div 10 \frac{5}{8}

$(2 + \frac{1}{8}) \div 10 \frac{5}{8}$

Step 1.2

Add

2

$2$ and

\frac{1}{8}

$\frac{1}{8}$ .

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Step 1.2.1

To write

2

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

\frac{8}{8}

$\frac{8}{8}$ .

(2 \cdot \frac{8}{8} + \frac{1}{8}) \div 10 \frac{5}{8}

$(2 \cdot \frac{8}{8} + \frac{1}{8}) \div 10 \frac{5}{8}$

Step 1.2.2

Combine

2

$2$ and

\frac{8}{8}

$\frac{8}{8}$ .

(\frac{2 \cdot 8}{8} + \frac{1}{8}) \div 10 \frac{5}{8}

$(\frac{2 \cdot 8}{8} + \frac{1}{8}) \div 10 \frac{5}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 8 + 1}{8} \div 10 \frac{5}{8}

$\frac{2 \cdot 8 + 1}{8} \div 10 \frac{5}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

8

$8$ .

\frac{16 + 1}{8} \div 10 \frac{5}{8}

$\frac{16 + 1}{8} \div 10 \frac{5}{8}$

Step 1.2.4.2

Add

16

$16$ and

1

$1$ .

\frac{17}{8} \div 10 \frac{5}{8}

$\frac{17}{8} \div 10 \frac{5}{8}$

\frac{17}{8} \div 10 \frac{5}{8}

$\frac{17}{8} \div 10 \frac{5}{8}$

\frac{17}{8} \div 10 \frac{5}{8}

$\frac{17}{8} \div 10 \frac{5}{8}$

\frac{17}{8} \div 10 \frac{5}{8}

$\frac{17}{8} \div 10 \frac{5}{8}$

Step 2

Convert

10 \frac{5}{8}

$10 \frac{5}{8}$ to an improper fraction.

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Step 2.1

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

\frac{17}{8} \div (10 + \frac{5}{8})

$\frac{17}{8} \div (10 + \frac{5}{8})$

Step 2.2

Add

10

$10$ and

\frac{5}{8}

$\frac{5}{8}$ .

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Step 2.2.1

To write

10

$10$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{17}{8} \div (10 \cdot \frac{8}{8} + \frac{5}{8})

$\frac{17}{8} \div (10 \cdot \frac{8}{8} + \frac{5}{8})$

Step 2.2.2

Combine

10

$10$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{17}{8} \div (\frac{10 \cdot 8}{8} + \frac{5}{8})

$\frac{17}{8} \div (\frac{10 \cdot 8}{8} + \frac{5}{8})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{17}{8} \div \frac{10 \cdot 8 + 5}{8}

$\frac{17}{8} \div \frac{10 \cdot 8 + 5}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

10

$10$ by

8

$8$ .

\frac{17}{8} \div \frac{80 + 5}{8}

$\frac{17}{8} \div \frac{80 + 5}{8}$

Step 2.2.4.2

Add

80

$80$ and

5

$5$ .

\frac{17}{8} \div \frac{85}{8}

$\frac{17}{8} \div \frac{85}{8}$

\frac{17}{8} \div \frac{85}{8}

$\frac{17}{8} \div \frac{85}{8}$

\frac{17}{8} \div \frac{85}{8}

$\frac{17}{8} \div \frac{85}{8}$

\frac{17}{8} \div \frac{85}{8}

$\frac{17}{8} \div \frac{85}{8}$

Step 3

To divide by a fraction, multiply by its reciprocal.

\frac{17}{8} \cdot \frac{8}{85}

$\frac{17}{8} \cdot \frac{8}{85}$

Step 4

Cancel the common factor of

17

$17$ .

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Step 4.1

Factor

17

$17$ out of

85

$85$ .

\frac{17}{8} \cdot \frac{8}{17 (5)}

$\frac{17}{8} \cdot \frac{8}{17 (5)}$

Step 4.2

Cancel the common factor.

$\frac{17}{8} \cdot \frac{8}{17 \cdot 5}$

Step 4.3

Rewrite the expression.

$\frac{1}{8} \cdot \frac{8}{5}$

Step 5

Cancel the common factor of

$8$ .

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Step 5.1

Cancel the common factor.

$\frac{1}{8} \cdot \frac{8}{5}$

Step 5.2

Rewrite the expression.

$\frac{1}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{5}$

Decimal Form:

$0.2$