Basic Math Examples

$2 \frac{4}{5} \div 6 \div 2 \frac{1}{2}$

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.

$(2 + \frac{4}{5}) \div 6 \div 2 \frac{1}{2}$

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 $\frac{5}{5}$ .

$(2 \cdot \frac{5}{5} + \frac{4}{5}) \div 6 \div 2 \frac{1}{2}$

Step 1.2.2

Combine $2$ and $\frac{5}{5}$ .

$(\frac{2 \cdot 5}{5} + \frac{4}{5}) \div 6 \div 2 \frac{1}{2}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{2 \cdot 5 + 4}{5} \div 6 \div 2 \frac{1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $5$ .

$\frac{10 + 4}{5} \div 6 \div 2 \frac{1}{2}$

Step 1.2.4.2

Add $10$ and $4$ .

$\frac{14}{5} \div 6 \div 2 \frac{1}{2}$

Step 2

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

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Step 2.1

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

$\frac{14}{5} \div 6 \div (2 + \frac{1}{2})$

Step 2.2

Add $2$ and $\frac{1}{2}$ .

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Step 2.2.1

To write $2$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{14}{5} \div 6 \div (2 \cdot \frac{2}{2} + \frac{1}{2})$

Step 2.2.2

Combine $2$ and $\frac{2}{2}$ .

$\frac{14}{5} \div 6 \div (\frac{2 \cdot 2}{2} + \frac{1}{2})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{14}{5} \div 6 \div \frac{2 \cdot 2 + 1}{2}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply $2$ by $2$ .

$\frac{14}{5} \div 6 \div \frac{4 + 1}{2}$

Step 2.2.4.2

Add $4$ and $1$ .

$\frac{14}{5} \div 6 \div \frac{5}{2}$

Step 3

To divide by a fraction, multiply by its reciprocal.

$\frac{14}{5} \div 6 \cdot \frac{2}{5}$

Step 4

Rewrite the division as a fraction.

$\frac{\frac{14}{5}}{6} \cdot \frac{2}{5}$

Step 5

Cancel the common factor of $2$ .

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Step 5.1

Factor $2$ out of $6$ .

$\frac{\frac{14}{5}}{2 (3)} \cdot \frac{2}{5}$

Step 5.2

Cancel the common factor.

$\frac{\frac{14}{5}}{2 \cdot 3} \cdot \frac{2}{5}$

Step 5.3

Rewrite the expression.

$\frac{\frac{14}{5}}{3} \cdot \frac{1}{5}$

Step 6

Multiply $\frac{\frac{14}{5}}{3}$ by $\frac{1}{5}$ .

$\frac{\frac{14}{5}}{3 \cdot 5}$

Step 7

Multiply $3$ by $5$ .

$\frac{\frac{14}{5}}{15}$

Step 8

Multiply the numerator by the reciprocal of the denominator.

$\frac{14}{5} \cdot \frac{1}{15}$

Step 9

Multiply $\frac{14}{5} \cdot \frac{1}{15}$ .

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Step 9.1

Multiply $\frac{14}{5}$ by $\frac{1}{15}$ .

$\frac{14}{5 \cdot 15}$

Step 9.2

Multiply $5$ by $15$ .

$\frac{14}{75}$

Step 10

The result can be shown in multiple forms.

Exact Form:

$\frac{14}{75}$

Decimal Form:

$0.18\overline{6}$