Basic Math Examples

$\frac{\frac{3}{2}}{\frac{1}{5} + \frac{8}{10}}$

Step 1

Cancel the common factor of $8$ and $10$ .

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Step 1.1

Factor $2$ out of $8$ .

$\frac{\frac{3}{2}}{\frac{1}{5} + \frac{2 (4)}{10}}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $10$ .

$\frac{\frac{3}{2}}{\frac{1}{5} + \frac{2 \cdot 4}{2 \cdot 5}}$

Step 1.2.2

Cancel the common factor.

$\frac{\frac{3}{2}}{\frac{1}{5} + \frac{2 \cdot 4}{2 \cdot 5}}$

Step 1.2.3

Rewrite the expression.

$\frac{\frac{3}{2}}{\frac{1}{5} + \frac{4}{5}}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{2} \cdot \frac{1}{\frac{1}{5} + \frac{4}{5}}$

Step 3

Simplify the denominator.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{3}{2} \cdot \frac{1}{\frac{1 + 4}{5}}$

Step 3.2

Add $1$ and $4$ .

$\frac{3}{2} \cdot \frac{1}{\frac{5}{5}}$

Step 3.3

Divide $5$ by $5$ .

$\frac{3}{2} \cdot \frac{1}{1}$

Step 4

Reduce the expression by cancelling the common factors.

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Step 4.1

Cancel the common factor of $1$ .

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Step 4.1.1

Cancel the common factor.

$\frac{3}{2} \cdot \frac{1}{1}$

Step 4.1.2

Rewrite the expression.

$\frac{3}{2} \cdot 1$

Step 4.2

Multiply $\frac{3}{2}$ by $1$ .

$\frac{3}{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{2}$

Decimal Form:

$1.5$

Mixed Number Form:

$1 \frac{1}{2}$