Basic Math Examples

$\frac{\frac{1}{8}}{\frac{1}{8}} + \frac{\frac{1}{4}}{\frac{1}{5}}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $\frac{1}{8}$ .

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Step 1.1.1

Cancel the common factor.

$\frac{\frac{1}{8}}{\frac{1}{8}} + \frac{\frac{1}{4}}{\frac{1}{5}}$

Step 1.1.2

Rewrite the expression.

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

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

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

Step 1.3

Combine $\frac{1}{4}$ and $5$ .

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

Step 2

Simplify the expression.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$\frac{4}{4} + \frac{5}{4}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{4 + 5}{4}$

Step 2.3

Add $4$ and $5$ .

$\frac{9}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{4}$

Decimal Form:

$2.25$

Mixed Number Form:

$2 \frac{1}{4}$