Basic Math Examples

$\frac{9}{5} + \frac{5}{\frac{8}{64}}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $8$ and $64$ .

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Step 1.1.1

Factor $8$ out of $8$ .

$\frac{9}{5} + \frac{5}{\frac{8 (1)}{64}}$

Step 1.1.2

Cancel the common factors.

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Step 1.1.2.1

Factor $8$ out of $64$ .

$\frac{9}{5} + \frac{5}{\frac{8 \cdot 1}{8 \cdot 8}}$

Step 1.1.2.2

Cancel the common factor.

$\frac{9}{5} + \frac{5}{\frac{8 \cdot 1}{8 \cdot 8}}$

Step 1.1.2.3

Rewrite the expression.

$\frac{9}{5} + \frac{5}{\frac{1}{8}}$

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{9}{5} + 5 \cdot 8$

Step 1.3

Multiply $5$ by $8$ .

$\frac{9}{5} + 40$

Step 2

To write $40$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{9}{5} + 40 \cdot \frac{5}{5}$

Step 3

Combine $40$ and $\frac{5}{5}$ .

$\frac{9}{5} + \frac{40 \cdot 5}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{9 + 40 \cdot 5}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $40$ by $5$ .

$\frac{9 + 200}{5}$

Step 5.2

Add $9$ and $200$ .

$\frac{209}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{209}{5}$

Decimal Form:

$41.8$

Mixed Number Form:

$41 \frac{4}{5}$