Basic Math Examples

2 \frac{3}{8} \div 4 \frac{7}{8}

$2 \frac{3}{8} \div 4 \frac{7}{8}$

Step 1

Convert

2 \frac{3}{8}

$2 \frac{3}{8}$ 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{3}{8}) \div 4 \frac{7}{8}

$(2 + \frac{3}{8}) \div 4 \frac{7}{8}$

Step 1.2

Add

2

$2$ and

\frac{3}{8}

$\frac{3}{8}$ .

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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{3}{8}) \div 4 \frac{7}{8}

$(2 \cdot \frac{8}{8} + \frac{3}{8}) \div 4 \frac{7}{8}$

Step 1.2.2

Combine

2

$2$ and

\frac{8}{8}

$\frac{8}{8}$ .

(\frac{2 \cdot 8}{8} + \frac{3}{8}) \div 4 \frac{7}{8}

$(\frac{2 \cdot 8}{8} + \frac{3}{8}) \div 4 \frac{7}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 8 + 3}{8} \div 4 \frac{7}{8}

$\frac{2 \cdot 8 + 3}{8} \div 4 \frac{7}{8}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

8

$8$ .

\frac{16 + 3}{8} \div 4 \frac{7}{8}

$\frac{16 + 3}{8} \div 4 \frac{7}{8}$

Step 1.2.4.2

Add

16

$16$ and

3

$3$ .

\frac{19}{8} \div 4 \frac{7}{8}

$\frac{19}{8} \div 4 \frac{7}{8}$

\frac{19}{8} \div 4 \frac{7}{8}

$\frac{19}{8} \div 4 \frac{7}{8}$

\frac{19}{8} \div 4 \frac{7}{8}

$\frac{19}{8} \div 4 \frac{7}{8}$

\frac{19}{8} \div 4 \frac{7}{8}

$\frac{19}{8} \div 4 \frac{7}{8}$

Step 2

Convert

4 \frac{7}{8}

$4 \frac{7}{8}$ to an improper fraction.

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Step 2.1

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

\frac{19}{8} \div (4 + \frac{7}{8})

$\frac{19}{8} \div (4 + \frac{7}{8})$

Step 2.2

Add

4

$4$ and

\frac{7}{8}

$\frac{7}{8}$ .

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Step 2.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{19}{8} \div (4 \cdot \frac{8}{8} + \frac{7}{8})

$\frac{19}{8} \div (4 \cdot \frac{8}{8} + \frac{7}{8})$

Step 2.2.2

Combine

4

$4$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{19}{8} \div (\frac{4 \cdot 8}{8} + \frac{7}{8})

$\frac{19}{8} \div (\frac{4 \cdot 8}{8} + \frac{7}{8})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{19}{8} \div \frac{4 \cdot 8 + 7}{8}

$\frac{19}{8} \div \frac{4 \cdot 8 + 7}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

4

$4$ by

8

$8$ .

\frac{19}{8} \div \frac{32 + 7}{8}

$\frac{19}{8} \div \frac{32 + 7}{8}$

Step 2.2.4.2

Add

32

$32$ and

7

$7$ .

\frac{19}{8} \div \frac{39}{8}

$\frac{19}{8} \div \frac{39}{8}$

\frac{19}{8} \div \frac{39}{8}

$\frac{19}{8} \div \frac{39}{8}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{19}{8} \cdot \frac{8}{39}$

Step 4

Cancel the common factor of

$8$ .

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Step 4.1

Cancel the common factor.

$\frac{19}{8} \cdot \frac{8}{39}$

Step 4.2

Rewrite the expression.

$19 (\frac{1}{39})$

Step 5

Combine

$19$ and

$\frac{1}{39}$ .

$\frac{19}{39}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{19}{39}$

Decimal Form:

$0.\overline{487179}$