Basic Math Examples

$2 \frac{4}{5} \div 56$

Step 1

Convert

$2 \frac{4}{5}$ to an improper fraction.

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Step 1.1

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

$(2 + \frac{4}{5}) \div 56$

Step 1.2

Add

$2$ and

$\frac{4}{5}$ .

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Step 1.2.1

To write

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

$\frac{5}{5}$ .

$(2 \cdot \frac{5}{5} + \frac{4}{5}) \div 56$

Step 1.2.2

Combine

$2$ and

$\frac{5}{5}$ .

$(\frac{2 \cdot 5}{5} + \frac{4}{5}) \div 56$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 5 + 4}{5} \div 56$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$5$ .

$\frac{10 + 4}{5} \div 56$

Step 1.2.4.2

Add

$10$ and

$4$ .

$\frac{14}{5} \div 56$

Step 2

Rewrite the division as a fraction.

$\frac{\frac{14}{5}}{56}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$\frac{14}{5} \cdot \frac{1}{56}$

Step 4

Cancel the common factor of

$14$ .

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Step 4.1

Factor

$14$ out of

$56$ .

$\frac{14}{5} \cdot \frac{1}{14 (4)}$

Step 4.2

Cancel the common factor.

$\frac{14}{5} \cdot \frac{1}{14 \cdot 4}$

Step 4.3

Rewrite the expression.

$\frac{1}{5} \cdot \frac{1}{4}$

Step 5

Multiply

$\frac{1}{5}$ by

$\frac{1}{4}$ .

$\frac{1}{5 \cdot 4}$

Step 6

Multiply

$5$ by

$4$ .

$\frac{1}{20}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{20}$

Decimal Form:

$0.05$