Basic Math Examples

$\frac{1 \cdot 16.2 + 8 \cdot 2.4 + 2 \cdot 14}{1 \cdot 10 + 8 \cdot 2 + 2 \cdot 15} \cdot 100$

Step 1

Simplify the numerator.

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Step 1.1

Multiply $16.2$ by $1$ .

$\frac{16.2 + 8 \cdot 2.4 + 2 \cdot 14}{1 \cdot 10 + 8 \cdot 2 + 2 \cdot 15} \cdot 100$

Step 1.2

Multiply $8$ by $2.4$ .

$\frac{16.2 + 19.2 + 2 \cdot 14}{1 \cdot 10 + 8 \cdot 2 + 2 \cdot 15} \cdot 100$

Step 1.3

Multiply $2$ by $14$ .

$\frac{16.2 + 19.2 + 28}{1 \cdot 10 + 8 \cdot 2 + 2 \cdot 15} \cdot 100$

Step 1.4

Add $16.2$ and $19.2$ .

$\frac{35.4 + 28}{1 \cdot 10 + 8 \cdot 2 + 2 \cdot 15} \cdot 100$

Step 1.5

Add $35.4$ and $28$ .

$\frac{63.4}{1 \cdot 10 + 8 \cdot 2 + 2 \cdot 15} \cdot 100$

Step 2

Simplify the denominator.

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Step 2.1

Multiply $10$ by $1$ .

$\frac{63.4}{10 + 8 \cdot 2 + 2 \cdot 15} \cdot 100$

Step 2.2

Multiply $8$ by $2$ .

$\frac{63.4}{10 + 16 + 2 \cdot 15} \cdot 100$

Step 2.3

Multiply $2$ by $15$ .

$\frac{63.4}{10 + 16 + 30} \cdot 100$

Step 2.4

Add $10$ and $16$ .

$\frac{63.4}{26 + 30} \cdot 100$

Step 2.5

Add $26$ and $30$ .

$\frac{63.4}{56} \cdot 100$

Step 3

Simplify terms.

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Step 3.1

Cancel the common factor of $4$ .

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Step 3.1.1

Factor $4$ out of $56$ .

$\frac{63.4}{4 (14)} \cdot 100$

Step 3.1.2

Factor $4$ out of $100$ .

$\frac{63.4}{4 \cdot 14} \cdot (4 \cdot 25)$

Step 3.1.3

Cancel the common factor.

$\frac{63.4}{4 \cdot 14} \cdot (4 \cdot 25)$

Step 3.1.4

Rewrite the expression.

$\frac{63.4}{14} \cdot 25$

Step 3.2

Combine $\frac{63.4}{14}$ and $25$ .

$\frac{63.4 \cdot 25}{14}$

Step 3.3

Multiply $63.4$ by $25$ .

$\frac{1585}{14}$

Step 3.4

Cancel the common factor of $1585$ and $14$ .

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Step 3.4.1

Rewrite $1585$ as $1 (1585)$ .

$\frac{1 (1585)}{14}$

Step 3.4.2

Cancel the common factors.

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Step 3.4.2.1

Rewrite $14$ as $1 (14)$ .

$\frac{1 \cdot 1585}{1 \cdot 14}$

Step 3.4.2.2

Cancel the common factor.

$\frac{1 \cdot 1585}{1 \cdot 14}$

Step 3.4.2.3

Rewrite the expression.

$\frac{1585}{14}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{1585}{14}$

Decimal Form:

$113.21428571 \dots$

Mixed Number Form:

$113 \frac{3}{14}$