Basic Math Examples

$6 - \frac{4}{5} \div 9$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$6 - \frac{\frac{4}{5}}{9}$

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

$6 - (\frac{4}{5} \cdot \frac{1}{9})$

Step 1.3

Multiply $\frac{4}{5} \cdot \frac{1}{9}$ .

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Step 1.3.1

Multiply $\frac{4}{5}$ by $\frac{1}{9}$ .

$6 - \frac{4}{5 \cdot 9}$

Step 1.3.2

Multiply $5$ by $9$ .

$6 - \frac{4}{45}$

Step 2

To write $6$ as a fraction with a common denominator, multiply by $\frac{45}{45}$ .

$6 \cdot \frac{45}{45} - \frac{4}{45}$

Step 3

Combine $6$ and $\frac{45}{45}$ .

$\frac{6 \cdot 45}{45} - \frac{4}{45}$

Step 4

Combine the numerators over the common denominator.

$\frac{6 \cdot 45 - 4}{45}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $6$ by $45$ .

$\frac{270 - 4}{45}$

Step 5.2

Subtract $4$ from $270$ .

$\frac{266}{45}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{266}{45}$

Decimal Form:

$5.9\overline{1}$

Mixed Number Form:

$5 \frac{41}{45}$