Basic Math Examples

$\frac{14}{\frac{4}{\frac{10}{1}}} \cdot \frac{\frac{5}{4}}{1}$

Step 1

Divide $10$ by $1$ .

$\frac{14}{\frac{4}{10}} \cdot \frac{\frac{5}{4}}{1}$

Step 2

Cancel the common factor of $4$ and $10$ .

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Step 2.1

Factor $2$ out of $4$ .

$\frac{14}{\frac{2 (2)}{10}} \cdot \frac{\frac{5}{4}}{1}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $10$ .

$\frac{14}{\frac{2 \cdot 2}{2 \cdot 5}} \cdot \frac{\frac{5}{4}}{1}$

Step 2.2.2

Cancel the common factor.

$\frac{14}{\frac{2 \cdot 2}{2 \cdot 5}} \cdot \frac{\frac{5}{4}}{1}$

Step 2.2.3

Rewrite the expression.

$\frac{14}{\frac{2}{5}} \cdot \frac{\frac{5}{4}}{1}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

$14 (\frac{5}{2}) \cdot \frac{\frac{5}{4}}{1}$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $14$ .

$2 (7) \frac{5}{2} \cdot \frac{\frac{5}{4}}{1}$

Step 4.2

Cancel the common factor.

$2 \cdot 7 \frac{5}{2} \cdot \frac{\frac{5}{4}}{1}$

Step 4.3

Rewrite the expression.

$7 \cdot 5 \cdot \frac{\frac{5}{4}}{1}$

Step 5

Multiply.

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Step 5.1

Multiply $7$ by $5$ .

$35 \cdot \frac{\frac{5}{4}}{1}$

Step 5.2

Divide $\frac{5}{4}$ by $1$ .

$35 \cdot \frac{5}{4}$

Step 6

Multiply $35 (\frac{5}{4})$ .

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Step 6.1

Combine $35$ and $\frac{5}{4}$ .

$\frac{35 \cdot 5}{4}$

Step 6.2

Multiply $35$ by $5$ .

$\frac{175}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{175}{4}$

Decimal Form:

$43.75$

Mixed Number Form:

$43 \frac{3}{4}$